Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (6): 1567-1593.doi: 10.1016/S0252-9602(17)30092-9

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DUALITY OF GENERALIZED DUNKL-LIPSCHITZ SPACES

Samir KALLEL   

  1. Department of Mathematics, Higher Institute of Computer Sciences and Mathematics of Monastir, Monastir University, 5000 Monastir, Tunisia
  • Received:2016-09-12 Online:2017-12-25 Published:2017-12-25

Abstract:

The aim of this paper is to prove duality and reflexivity of generalized Lipschitz spaces ∧α,p,qk (R), α ∈ R and 1 ≤ p, q ≤ ∞, in the context of Dunkl harmonic analysis.

Key words: Dunkl operator, duality, Herz spaces, heat transform, Dunkl transform, generalized Dunkl-Lipschitz spaces

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