PSEUDO-DIFFERENTIAL OPERATORS INVOLVING HANKEL–CLIFFORD TRANSFORMATION

DOI10.1142/S1793557112500404zbMath1266.46032OpenAlexW1995196634MaRDI QIDQ4900109

Akhilesh Prasad, Vishal Singh, Madan Mohan Dixit

Publication date: 11 January 2013

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557112500404

zbMATH Keywords

Bessel operatorpseudo-differential operatorSobolev-type spaceHankel-Clifford transformation

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Pseudodifferential operators (47G30)

Related Items (16)

Fractional wavelet packet transformations involving Hankel-Clifford integral transformations ⋮ Weighted boundedness for Toeplitz type operator associated to general integral operators ⋮ Equivalence of \(K\)-functionals and modulus of smoothness constructed by first Hankel-Clifford transform ⋮ Dini Clifford Lipschitz functions for the first Hankel-Clifford transform in the space \(L^2_\mu\) ⋮ On estimates for the first Hankel-Clifford transform in the space \(L^p_{\mu}\) ⋮ Weighted integrability results for first Hankel-Clifford transform ⋮ Dual Boas-type theorems and weighted integrability results for second Hankel-Clifford transform ⋮ Unnamed Item ⋮ Generalized integral transformations ⋮ Hankel-Clifford transformations on some ultradifferentiable function spaces and pseudo-differential operators ⋮ Pseudo-differential operator involving generalized Hankel–Clifford transformation ⋮ Hardy's and Miyachi's theorems for the first Hankel-Clifford transform ⋮ Composition of pseudodifferential operators associated with fractional Hankel–Clifford integral transformations ⋮ An analog of the Titchmarsh's theorem for the first Hankel-Clifford transform ⋮ A pair of pseudo-differential operators involving Hankel-type integral transformations ⋮ PSEUDO-DIFFERENTIAL OPERATORS ASSOCIATED TO A PAIR OF HANKEL–CLIFFORD TRANSFORMATIONS ON CERTAIN BEURLING TYPE FUNCTION SPACES

Cites Work

• A pair of generalized Hankel-Clifford transformations and their applications
• On the generalized Hankel-Clifford transformation of arbitrary order
• A class of pseudo-differential operators associated with Bessel operators
• Continuity of pseudo-differential operatorh_μ,ainvolving Hankel translation and Hankel convolution on some Gevrey spaces

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