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arXiv · 1911.08369

Embeddings and characterizations of Lipschitz spaces

Oscar Domínguez·Dorothee D. Haroske·Sergey Tikhonov
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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.

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Oscar Domínguez, Dorothee D. Haroske, Sergey Tikhonov. 2019-11-19. Embeddings and characterizations of Lipschitz spaces. https://arxiv.org/abs/1911.08369

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