\(L_\mu^p\)-boundedness of the pseudo-differential operator associated with the Bessel operator

DOI10.1006/JMAA.2000.7336zbMath0987.47042OpenAlexW1997926962MaRDI QIDQ5937233

Santosh Kumar Upadhyay, Ram Shankar Pathak

Publication date: 3 July 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7336

zbMATH Keywords

Hankel transformation\(L^p_\mu\)-boundednessBessel operatorpseudodifferential operator

Mathematics Subject Classification ID

Pseudodifferential operators (47G30)

Related Items (16)

Integrability of the continuum Bessel wavelet kernel ⋮ The \(\mathrm{Y}\) transforms and allied pseudo-differential operators ⋮ An integral representation of pseudo-differential operators involving Weinstein transform ⋮ \(L_\mu^p\)-spectra of pseudo-differential operators associated with the Bessel operator ⋮ The localization operator and wavelet multipliers involving the Watson transform ⋮ Canonical Fourier-Bessel transform and their applications ⋮ Canonical potential and L^p-Sobolev space involving linear canonical Fourier transform ⋮ Wavelet multiplier associated with the Watson transform ⋮ Integral representations of pseudo-differential operator associated with the Jacobi differential operator ⋮ On the Sobolev boundedness results of the product of pseudo-differential operators involving a couple of fractional Hankel transforms ⋮ Asymptotic Series of General Symbol and Pseudo-Differential Operators ⋮ Lp-Norm inequality of the product of pseudo-differential operators involving Hankel transformation ⋮ The Pseudo-differential Operatorh_μ,aon Hankel Invariant Spaces ⋮ \(L_{\alpha }^p\)-boundedness of the pseudo-differential operators associated with the Kontorovich-Lebedev transform ⋮ \(L_{\mu}^{p}\)-boundedness of localization operators associated to Bessel left regular representations ⋮ A pair of pseudo-differential operators involving Hankel-type integral transformations

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• Boundedness of some pseudodifferential operators
• Pseudo-differential operators involving Hankel transforms
• Sobolev type spaces associated with Bessel operators
• A class of pseudo-differential operators associated with Bessel operators
• L\(^p\) bounds for pseudo-differential operators
• The L^p-boundedness of pseudo-differential operators with non-regular symbols
• The Complex Hankel andI-Transformations of Generalized Functions
• Hankel convolution on distribution spaces with exponential growth

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