ON LITTLEWOOD–PALEY FUNCTIONS ASSOCIATED WITH THE DUNKL OPERATOR

DOI10.1017/S0004972717000223zbMath1371.42020MaRDI QIDQ4975602

Zhongkai Li, Xiaoliang Zhang, Jianquan Liao

Publication date: 7 August 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Littlewood-Paley functionDunkl operatorDunkl transform\(\lambda\)-Hilbert transform\(\lambda\)-Poisson integral

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items

Dimension‐free square function estimates for Dunkl operators ⋮ Upper and lower bounds for Littlewood–Paley square functions in the Dunkl setting

Cites Work

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• Harmonic analysis associated with the one-dimensional Dunkl transform
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• Orthogonal Polynomials of Several Variables
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)