Generalized Dunkl-Lipschitz Spaces

2014/02/26 by Samir Kallel, Kallel, Samir
Computer Science · Mathematics · #Advanced Data Compression Techniques #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1402.7339

openalex publication_date 2014/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper deals with generalized Lipschitz spaces \wedge^k_α,p,q(\R) in the context of Dunkl harmonic analysis on \R, for all real α. It also introduces a generalized Dunkl-Lipschitz spaces \cal T\wedge^k_α,p,q(\R²₊) of k-temperature on \R²₊. Some properties and continuous embedding of these spaces and the isomorphism of \cal T\wedge^k_α,p,q(\R²₊) and \wedge^k_α,p,q(\R) are established.

Citations

• Convolution operator and maximal function for the Dunkl transform

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