Lipschitz space with mixed logarithmic smoothness and embedding theorems

2025/11/18 by Akishev, Gabdolla
#26A16 #26B35 #42B35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2511.14314

Abstract

This article considers the Lipschitz space with mixed logarithmic smoothness of 2π periodic functions of several variables. We obtain equivalent descriptions of the norm of the Lipschitz space and prove embedding theorems between Besov and Lipschitz spaces.

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