Some results on generalized Dunkl–Lipschitz spaces

Samir Kallel

Mathematische Nachrichten, 2020, vol. 293, issue 2, 305-326

Abstract: In this paper we study certain relations between the Dunkl–Sobolev classes of fractional order Lα,kp(IR) and the generalized Dunkl–Lipschitz classes ∧α,p,qk(IR). Next, we show a Dunkl–Hardy–Littlewood theorem for k‐temperatures and its dual. Also, we give some theorems on Dunkl convolutions of Dunkl–Lipschitz functions. Finally, we establish some results concerning the Dunkl transforms of functions and distributions belonging to generalized Dunkl–Lipschitz spaces.

Date: 2020
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https://doi.org/10.1002/mana.201800032

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:293:y:2020:i:2:p:305-326

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