On the boundedness of pseudo-differential operators associated with the Dunkl transform on the real line

DOI10.1515/APAM.2010.028zbMath1226.47051OpenAlexW2023387205MaRDI QIDQ3074812

Sami Mustapha, Bechir Amri, Mohamed Sifi

Publication date: 10 February 2011

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam.2010.028

zbMATH Keywords

singular integralspseudodifferential operatorsDunkl transform

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Pseudodifferential operators (47G30) Singular integrals of functions in several complex variables (32A55)

Related Items (1)

Weyl transforms associated with Dunkl wavelet transform

Cites Work

• The Dunkl transform
• Convolution operator and maximal function for the Dunkl transform
• $L^p$-theory of pseudo-differential operators
• On the L² continuity of pseudo‐differential operators
• A Class of Bounded Pseudo-Differential Operators

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