Maximal Bochner–Riesz operators on Hardy-type spaces in the Dunkl setting

DOI10.1080/10652469.2012.727087zbMath1283.42037OpenAlexW2046407353MaRDI QIDQ2854308

Fethi Soltani

Publication date: 18 October 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.727087

zbMATH Keywords

Hardy spaceatomic decompositionDunkl transformmaximal Bochner-Riesz operator

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Integral transforms in distribution spaces (46F12) (H^p)-spaces (42B30)

Related Items (1)

Heisenberg uncertainty principles for the Dunkl multipier operators

Cites Work

• Riesz transform and Riesz potentials for Dunkl transform
• Lipschitz-Hankel spaces, partial Hankel integrals and Bochner-Riesz means
• Markov processes related with Dunkl operators
• The Dunkl transform
• \(L^{p}\)-Fourier multipliers for the Dunkl operator on the real line.
• Generalized Fock spaces and Weyl commutation relations for the Dunkl kernel.
• Exact operator solution of the Calogero-Sutherland model
• Positivity of Dunkl's intertwining operator
• Convolution operator and maximal function for the Dunkl transform
• \(H^p\) spaces of several variables
• Integral Kernels with Reflection Group Invariance
• Extensions of Hardy spaces and their use in analysis
• Multiplier theorems for Herz type Hardy spaces
• A positive radial product formula for the Dunkl kernel
• Inversion formulas in the Dunkl-type heat conduction on

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