Inclusion relations among fractional Orlicz-Sobolev spaces and a Littlewood-Paley characterization

Autor:	Breit, Dominic, Cianchi, Andrea
Rok vydání:	2023
Předmět:	Mathematics - Functional Analysis Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	Embeddings among fractional Orlicz-Sobolev spaces with different smoothness are characterized. The equivalence of their Gagliardo-Slobodeckij norms to norms defined via Littlewood-Paley decompostions, via oscillations, or via Besov type difference quotients is also established. These equivalences, of independent interest, are a key tool in the proof of the relevant embeddings. They also rest upon a new optimal inequality for convolutions in Orlicz spaces.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.10839 Zobrazit plný text záznamu View this record from Arxiv