Premium
Some results on generalized Dunkl–Lipschitz spaces
Author(s) -
Kallel Samir
Publication year - 2020
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201800032
Subject(s) - mathematics , lipschitz continuity , pure mathematics , sobolev space , order (exchange) , dual (grammatical number) , mathematical analysis , art , literature , finance , economics
In this paper we study certain relations between the Dunkl–Sobolev classes of fractional orderL α , k p ( IR )and the generalized Dunkl–Lipschitz classes∧ α , p , q k ( 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.