Sobolev type spaces associated with Bessel operators

DOI10.1006/jmaa.1997.5620zbMath0903.46031OpenAlexW2071389417MaRDI QIDQ1378589

Pradip K. Pandey, Ram Shankar Pathak

Publication date: 14 December 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5620

zbMATH Keywords

Sobolev spacesHankel transformfractional Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (25)

On Nonlinear Hankel Potentials ⋮ The \(\mathrm{Y}\) transforms and allied pseudo-differential operators ⋮ Pseudo-differential operators involving Hankel transforms ⋮ \(L_\mu^p\)-spectra of pseudo-differential operators associated with the Bessel operator ⋮ CHARACTERIZATIONS OF THE INVERSION FORMULA OF THE CONTINUOUS BESSEL WAVELET TRANSFORM OF DISTRIBUTIONS IN Hμ′(ℝ+) ⋮ Canonical potential and L^p-Sobolev space involving linear canonical Fourier transform ⋮ Wavelet multiplier associated with the Watson transform ⋮ Composition and commutator of pseudo-differential operators in the framework of zero-order Mehler-Fock transform domain ⋮ The Bessel wavelet transform of distributions in DL2′-type space ⋮ \(n\)-dimensional Sobolev type spaces involving Hankel transformation ⋮ Continuous Bessel wavelet transform of distributions ⋮ The Kontorovich-Lebedev transform and Sobolev type space ⋮ On the Sobolev boundedness results of the product of pseudo-differential operators involving a couple of fractional Hankel transforms ⋮ Sharp Shannon's and logarithmic Sobolev inequalities for the Hankel transform ⋮ \(L_\mu^p\)-boundedness of the pseudo-differential operator associated with the Bessel operator ⋮ Spaces of distributions of Besov and Triebel-Lizorkin type for the Fourier-Bessel transform ⋮ Psedidifferential-difference operators associated with dunkl operators ⋮ Pseudo-differential operators involving Watson transform ⋮ Some properties of the pseudodifferential operator \(h_{\mu ,a}\) ⋮ Lp-Norm inequality of the product of pseudo-differential operators involving Hankel transformation ⋮ The Pseudo-differential Operatorh_μ,aon Hankel Invariant Spaces ⋮ Linear and nonlinear Bessel potentials associated with the Poly-axially operator ⋮ Zero-order Mehler-Fock transform and Sobolev-type space ⋮ Linear and nonlinear Bessel potentials associated with the Poly-axially operator ⋮ Sobolev type spaces associated with jacobi differential operators

Cites Work

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• A class of pseudo-differential operators associated with Bessel operators
• On the Existence of Fundamental Solutions of Certain Boundary Value Problems
• Integral Equations Associated with Hankel Convolutions
• The Complex Hankel andI-Transformations of Generalized Functions
• COMPLEX FOURIER--BESSEL TRANSFORMS

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