Journal of Pseudo-Differential Operators and Applications

Papers
(The median citation count of Journal of Pseudo-Differential Operators and Applications is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-08-01 to 2026-08-01.)
ArticleCitations
Frame wavelet set and frequency frame wavelet in $$L^2({\mathbb {R}}^n)$$26
Estimates for the first eigenvalue of diffusion-type operators in weighted manifolds22
Anisotropic Fractional Leibniz Rule21
Lorentz Herz-Morrey spaces with applications19
Weighted composition operator on Gamma spaces with variable exponent16
Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities14
Weak solutions for a fractional Kirchhoff-type problem in fractional Musielak–Sobolev spaces via Young measures14
Moduli of smoothness and generalized canonical Fourier–Bessel diffrential operator on the half-line12
Jacobi-dunkl operator: wigner transform and toeplitz operators11
Constructing multi-bump solutions for fractional Schrödinger equation with slow decaying potentials11
Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces11
Special Fourier integral operators of types I and II with function-variable symbols: definition, relation to metaplectic transform, and Heisenberg’s uncertainty principles11
Hartley-Bessel transform for integrable Boehmians10
On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity9
Boundedness of multilinear pseudo-differential operators with $$S_{0,0}$$ class symbols on Besov spaces9
Weak solvability and well-posedness of some fractional parabolic problems with vanishing initial datum9
New Caputo fractional differential equation of higher order on unbounded interval and solvability in the new Banach space9
$$\Theta $$-type Calderón–Zygmund operator and its commutator on (grand) generalized weighted variable exponent Morrey space over RD-spaces8
Estimates for a certain bilinear Fourier integral operator8
Fractional non-isotropic n-dimensional modified Stockwell transform: properties and inequalities8
Properties and applications of quaternion quadratic phase Fourier transforms8
Phase retrieval and norm retrieval in tensor product space8
Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups8
Bilinear multipliers on Orlicz spaces on locally compact groups7
Multilinear pseudo-differential operators with critical forbidden amplitudes on local Hardy spaces7
Commutators of bilinear $$\theta $$-type Calderón–Zygmund operators on two weighted Herz spaces with variable exponents7
Initial value problems for heat equations generated by strongly elliptic $$(\rho ,\Lambda )$$-pseudo-differential operators on $${\mathbb {R}}^{n}$$6
Boundary Value Problems for p-Adic Elliptic Parisi-Zúñiga Diffusion6
The boundedness of the Calderón-Zygmund operator in Jourńe class in the mixed time-space radial-angular spaces6
Sobolev-type spaces related to the $$\mu {th}$$ order Mehler-Fock transform6
Toeplitz operators for the Gabor spherical mean transform6
Novel scaling Wigner distribution in the linear canonical domain6
Oblique dual and g-dual frames in separable quaternionic Hilbert spaces6
The heat semigroups and uncertainty principles related to canonical Fourier–Bessel transform6
Normal extensions for degenerate conformable fractional $$\alpha $$-order differential operator5
Representations of frames via iterative actions of operators in tensor product spaces5
Kirchhoff type mixed local and nonlocal elliptic problems with concave–convex and Choquard nonlinearities5
New quadratic phase Wigner distribution and ambiguity function with applications to LFM signals5
A note on a generalized singular capillarity system with $$\Im $$-Hilfer fractional derivative5
Monotonicity and symmetry of solutions to fractional p-laplacian systems5
Weighted estimates for pseudo-differential operators with weak regular symbols and their commutators5
Formation of Turing patterns in the Schnakenberg system over the p-adic integers5
Optimal $$L^{2}$$-growth of the generalized Rosenau equation5
Morse’s theory and local linking for a fractional $$(p_{1}(\textrm{x}.,), p_{2}(\textrm{x}.,))$$: Laplacian problems on compact manifolds5
$${\mathcal {L}}$$-invariant and radial singular integral operators on the Fock space5
Wave front sets of Riesz type on Minkowski space5
Complex FIOs and composition of Toeplitz operators5
Correction: The fibre operators in the Bloch-Floquet decomposition of periodic magnetic pseudo-differential operators5
The general Dabrowski–Sitarz–Zalecki type theorem for odd dimensional manifolds with boundary III5
Fractional Hankel transform in Colombeau algebra5
Positivity results for Weyl’s pseudo-differential calculus on the Wiener space5
Representation of frames as regular k-distance sets4
Toeplitz operators and composition operators on the q-Bergman space4
The pseudo-differential perturbations of the Dirac operator and the Kastler-Kalau-Walze type theorems4
Three solutions for a fractional p-Laplacian problem4
Hardy–Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds4
Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary4
Uncertainty principles for the multidimensional quadratic-phase Fourier transform4
Product local Hardy spaces associated with ball quasi-Banach function spaces4
Ultradistributions on $$ {\mathbb {R}}_{+}^{n}$$ and solvability and hypoellipticity through series expansions of ultradistributions4
New classes of p-adic pseudo-differential operators with negative definite symbols and their applications4
A stability result of a Timoshenko beam system with a delay term in the internal fractional feedback4
Integrability problems and Boas type results for Hartley-Bessel transforms4
Equivalence relations and distances between generalized frames4
Heisenberg uncertainty principle for Gabor transform on compact extensions of $$\mathbb {R}^n$$4
Aspect of invariant properties of Orlicz amalgam spaces with respect to Banach spaces4
Pseudo-differential operators on local Hardy spaces associated with ball quasi-Banach function spaces4
Existence results for nonnegative solutions of weighted quasilinear systems including subcritical and critical growths4
Fractional Hankel wavelet transform on the Schwartz type space4
Modified version of fixed point theorems and their applications on a fractional hybrid differential equation in the space of continuous tempered functions3
Recovering initial population density of fractional pseudo-parabolic problem associated with a nonlinear reaction3
Modified scattering for the higher-order KdV–BBM equations3
Pseudo-differential operators associated with a pair of quadratic-phase Hankel transformations3
Boundary value problem with tempered fractional derivatives and oscillating term3
Quadratic-phase wavelet scalogram3
Time-frequency analysis associated with multidimensional Hankel-Gabor transform3
An $$n-$$dimensional pseudo-differential operator involving quadratic phase Fourier transform and applications in quantum mechanics3
Growth properties of Hartley transform via moduli of continuity3
A generating function framework for Mittag-Leffler kernel operators: structure, analysis, and applications3
Donoho-Stark uncertainty principle associated to the index Whittaker wavelet transform3
Discrete Quaternionic (Multi-window) Gabor Systems3
The localization operator and wavelet multipliers involving the Watson transform3
Bilinear Dunkl-generalized fractional integrals and their commutators on generalized Morrey spaces3
Generalised Hardy type and Rellich type inequalities on the Heisenberg group3
On the explicit formula linking a function to the order of its fractional derivative3
Regularity of Parabolic Ornstein–Uhlenbeck Equations via Boundedness of Fractional Muckenhoupt-Type Weighted Singular Operators in Variable Herz Spaces3
Global hypoellipticity of systems of Fourier multipliers on compact Lie groups3
On g-frame representations via linear operators3
Extended Sobolev scale on $$\mathbb {Z}^n$$3
Existence of positive and sign-changing solutions for a Choquard equation involving mixed local and nonlocal operators3
On a kind of integro-differential elliptic problems via young measures approach3
Strong and weak estimates of a class of bilinear fiber-wise pseudo-differential operators3
Sharp Pitt’s inequality and Beckner’s logarithmic uncertainty principle for the Weinstein transform3
Uncertainty principles for the biquaternion offset linear canonical transform3
Study of a sequential $$\psi $$-Hilfer fractional integro-differential equations with nonlocal BCs3
Propagation of anisotropic Gelfand–Shilov wave front sets2
Existence theory for higher order hybrid fractional integro-differential systems2
$${\mathcal {A}}$$-localization operators2
A simple criterion for essential self-adjointness of Weyl pseudodifferential operators2
The Wigner global wave front set in spaces of tempered ultradistributions2
Localization operators related to Stockwell transforms on locally compact abelian groups2
On a novel fractional Caputo-derivative Orlicz space2
Mixed local and nonlocal equation with singular nonlinearity having variable exponent2
$$\tau $$-quantization and $$\tau $$-Cohen classes distributions of Feichtinger operators2
Mellin integral transforms and generalized Lipschitz and Zygmund spaces2
A Dyson-type series solution to some time-dependent Schrödinger equations on finite adeles2
The fractional Lions transform and its associated wavelet analysis2
The fractional logarithmic Schrödinger operator: properties and functional spaces2
Fractional Musielak spaces: Analysis of non-local singular elliptic system2
Generalized Pizzetti’s formula for Weinstein operator and its applications2
Pseudo-differential operators associated with the coupled fractional Fourier transform and its application2
Analytical study of nonlinear fractional integro-differential equations with kernel interactions and p-Laplacian structure2
Solvability of a generalized two dimensional nonlinear fractional integral equation2
On fractional (p, q)-Laplacian equations involving subcritical or critical Hardy exponents2
Qualitative analysis of time-optimal control for Hilfer fractional hemivariational dynamics with mixed stochastic disturbances2
On the boundedness of rough bi-parameter Fourier integral operators2
Continuity properties of multi-parameter pseudodifferential operators via calculus of symbols2
Multilinear Calderón-Zygmund integral operators with generalized kernels and their commutators on product of weighted Morrey spaces2
Schatten-von Neumann classes of tensors of invariant operators2
Gelfand-Shilov boundedness of the gyrator wavelet transform2
Correction to: A simple proof of Kotake–Narasimhan theorem in some classes of ultradifferentiable functions2
On a singular $$p(x,\mathbin {\cdot })$$-integro-differential elliptic problem2
On $$L^2$$ boundedness of rough Fourier integral operators2
Estimates for the Berezin number inequalities2
Truncation quantization in the edge calculus2
Radial solutions of a pseudo-differential equations associated with a p-adic non-local ultradiffusion operator2
Optimal semiclassical spectral asymptotics for differential operators with non-smooth coefficients2
Weighted norm inequalities related to fractional Schrödinger operators2
Existence and blow up of solutions for a viscoelastic plate equation with variable-exponent nonlocal energy damping and nonlinear source terms1
The Hartley–Bessel function: product formula and convolution structure1
Restriction theorem for the Fourier–Dunkl transform I: cone surface1
Hypoellipticity and solvability of systems of strongly invariant operators on Komatsu classes1
Weighted estimates for high-order commutators of bilinear fractional integral operators1
Global hypoellipticity of G-invariant operators on homogeneous vector bundles1
Well-posedness and finite-time blow-up of a coupled wave system with fractional damping and nonlinear cross-interactions1
A class of fractional parabolic reaction–diffusion systems with control of total mass: theory and numerics1
Unique continuation for fractional p-elliptic equations1
Inequalities for linear combinations of orthogonal projections and applications1
Phase-space Feynman path integrals on the torus for general functionals as analysis on path space1
Mass concentration phenomenon in the 3D bipolar compressible Navier–Stokes–Poisson system1
Calculus of k-fractional derivative with respect to monotonic functions1
Solvability in the sense of sequences for some logarithmic Schrödinger operators in higher dimensions1
Characterization of eigenfunctions of the Laplacian having exponential growth1
A new approach to neural networks using pseudo-differential operators1
Linear and nonlinear pseudo-differential operators on p-adic fields1
Boundedness and compactness analysis of the weinstein wavelet multipliers1
Renormalization and pseudodifferential operators1
$$L^{\infty }$$-BMO boundedness of some pseudo-differential operators1
On a class of Kirchhoff problem involving a generalized $$\psi $$-Hilfer derivative with logarithmic nonlinearity1
Subspace dual and orthogonal frames by action of an abelian group1
Linear canonical Dunkl Wigner transformation: theory and localization operators1
Geodetically convex sets in the Heisenberg group $${\mathbb {H}}^n$$, $$n \ge 1$$1
On higher-order generalized exponential kernel fractional derivatives: Application to a fractional Helmholtz-Duffing equation1
Symmetrically global pseudo-differential operators involving the Weinstein transform1
Fractional type Marcinkiewicz integral and its commutator on grand variable Herz-Morrey spaces1
$$L^p$$-Sobolev spaces and coupled potential operators associated with coupled fractional Fourier transform1
Boundedness of general Fourier integral operators on Besov spaces and Triebel-Lizorkin spaces1
Chracterization of generalized Campanato spaces with variable exponents via fractional integrals1
Application of functional analysis in research of an M/G/1 retrial queueing model1
Modular convergence of semi-discrete neural network operators in Orlicz space1
The Stockwell transform on Gelfand pairs and localization operators1
Matrix-Wigner global wave front sets in ultradifferentiable classes1
The Vladimirov–Taibleson operator: inequalities, Dirichlet problem, boundary Hölder regularity1
Schrödinger equations with limited smoothness1
Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect1
Index Whittaker transforms over Lebesgue spaces1
A weighted $$L_p$$-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators1
Wiener amalgam spaces with respect to orlicz spaces on the affine group1
Berezin number and Berezin norm inequalities via Moore-Penrose inverse1
Quasinormable Fréchet spaces and M. W. Wong’s inequality1
On single-layer potentials, pseudo-gradients and a jump theorem for an isotropic $$\alpha $$-stable stochastic process1
Wave packet frames in linear canonical domains: construction and perturbation1
Pseudodifferential operators with completely periodic symbols1
New classes of p-adic evolution equations and their applications1
Localization operators in the framework of the linear canonical Jacobi wavelet transform1
Combined effects in nonlinear elliptic equations involving fractional operators1
A fixed point result via new condensing operator and its application to a system of generalized proportional fractional integral equations1
An extension of localization operators1
The fibre operators in the Bloch-Floquet decomposition of periodic magnetic pseudo-differential operators1
Growth and blow-up of solutions for a viscoelastic wave equation with logarithmic source, fractional conditions, and non-linear boundary feedback1
Phase space Feynman path integrals of parabolic type on the torus as analysis on path space1
Remarks on mixed journé class1
Harmonic flows and Markov dynamics on finite groups via pseudo-differential operators1
Solvability of infinite systems of Caputo–Hadamard fractional differential equations in the triple sequence space $$c^3(\triangle )$$1
Weighted boundedness of variation operators for fractional heat semigroups related to the Schrödinger operator1
Continuity properties of multi-parameter pseudodifferential operators on Bony class1
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