Convolution operators and Bochner-Riesz means on Herz-type Hardy spaces in the Dunkl setting

DOI10.1155/2010/204509zbMath1213.44003OpenAlexW2158471600WikidataQ58651713 ScholiaQ58651713MaRDI QIDQ623683

Fethi Soltani, Abdessalem Gasmi

Publication date: 8 February 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229068

zbMATH Keywords

multiplierBochner-Riesz meansHerz-type Hardy spacesDunkl convolution

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Multipliers for harmonic analysis in several variables (42B15)

Related Items

A multiplier theorem for Herz-type Hardy spaces associated with the Dunkl transform

Cites Work

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• The Dunkl transform
• \(L^{p}\)-Fourier multipliers for the Dunkl operator on the real line.
• \(H^p\) spaces of several variables
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• Multiplier theorems for Herz type Hardy spaces
• Dunkl transform on R and convolution product on new spaces of distributions