Year: 2014
Type: preprint
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 ${\cal T}\wedge^k_{α,p,q}(\R^2_+)$ of $k$-temperature on $\R^2_+$. Some properties and continuous embedding of these spaces and the isomorphism of ${\cal T}\wedge^k_{α,p,q}(\R^2_+)$ and $\wedge^k_{α,p,q}(\R)$ are established.
Source: arXiv (Cornell University)
Author: Kallel, Samir
Institution: Tunis University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2950134402