Embeddings and characterizations of Lipschitz spaces
Functional Analysis
2019-11-20 v1
Abstract
In this paper we give a thorough study of Lipschitz spaces. We obtain the following new results: (1) Sharp Jawerth-Franke-type embeddings between the Besov and Lipschitz spaces extending the classical results for Besov and Sobolev spaces; (2) Sharp embeddings between Lipschitz spaces with different parameters extending the Br\'ezis-Wainger result; (3) Characterizations for Lipschitz spaces norms via Fourier transforms and wavelets; (4) Sharp embeddings from Lipschitz spaces into Lebesgue/Lorentz-Zygmund spaces.
Keywords
Cite
@article{arxiv.1911.08369,
title = {Embeddings and characterizations of Lipschitz spaces},
author = {Oscar Domínguez and Dorothee D. Haroske and Sergey Tikhonov},
journal= {arXiv preprint arXiv:1911.08369},
year = {2019}
}
Comments
72 pages