Weinstein-Sobolev spaces of exponential type and applications

DOI10.1007/s10114-012-0042-2zbMath1272.46022OpenAlexW2054773227MaRDI QIDQ1940891

Hassen Ben Mohamed, Belgacem Ghribi

Publication date: 8 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0042-2

zbMATH Keywords

Sobolev spacesdistributionWeinstein transformWeinstein operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12)

Related Items (14)

An integral representation of pseudo-differential operators involving Weinstein transform ⋮ Boundedness and compactness of localization operators for Weinstein-Wigner transform ⋮ Pseudo-differential operators in the generalized Weinstein setting ⋮ Sharp Pitt's inequality and Beckner's logarithmic uncertainty principle for the Weinstein transform ⋮ The Weinstein transform associated with a family of generalized distributions ⋮ Bochner-Hecke theorems in the generalized Weinstein theory setting ⋮ Generalized Weinstein Sobolev-Gevrey spaces and pseudo-differential operators ⋮ Calderón's reproducing formulas for the poly-axially L_α²-multiplier operators ⋮ Symmetrically global pseudo-differential operators involving the Weinstein transform ⋮ Calderón type reproducing formula for the Weinstein-Stockwell transform ⋮ Wavelet packet analysis associated with the Weinstein operator on \(\mathbb{R}^{d+1}_+\) ⋮ Unnamed Item ⋮ Calderón’s reproducing formulas for the Weinstein L2-multiplier operators ⋮ Unnamed Item

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