A Characterization of the Hardy Space Associated with the Dunkl Transform

For p ≥ p 0 : = 2 λ / ( 2 λ + 1 ) with λ > 0 , the Hardy space H λ p ( R + 2 ) associated with the Dunkl transform F λ and the Dunkl operator D on the line R , where ( D x f ) ( x ) = f ′ ( x ) + λ x ( f ( x ) - f ( - x ) ) , is the set of functions F = u + i v on the half plane R + 2 = { ( x , y...

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Bibliographic Details

Published in:	Complex analysis and operator theory Vol. 15; no. 3
Main Authors:	Wei, Haihua, Liao, Jianquan, Li, Zhongkai
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.04.2021 Springer Nature B.V
Subjects:	Analysis Hilbert transformation Infinite-dimensional Analysis and Non-commutative Theory Mathematics Mathematics and Statistics Operator Theory Dunkl transform 44A15 Hilbert transform 30D55 Weak Dunkl derivative 42A50 30G20 Riesz potential Hardy space
ISSN:	1661-8254, 1661-8262
Online Access:	Get full text
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