On the Embedding of $BV$ Space into Besov-Orlicz Space

Autor:	Pawlewicz, Aleksander, Wojciechowski, Michał
Rok vydání:	2021
Předmět:	Mathematics - Functional Analysis 46E30 46E35 30H25
Druh dokumentu:	Working Paper
Popis:	We give a sufficient (and, in the case of a compact domain, a necessary) condition for the embedding of Sobolev space of functions with integrable gradient into Besov-Orlicz spaces to be bounded. The condition has a form of a simple integral inequality involving Young and weight functions. We provide an example with Matuszewska-Orlicz indices of involved Orlicz norm equal to one. The main tool is the molecular decomposition of functions from a BV space. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.12480 Zobrazit plný text záznamu View this record from Arxiv