An optimal embedding theorem for fractional Orlicz-Sobolev spaces into Orlicz spaces will be surveyed. A new embedding for the same fractional spaces into generalized Campanato spaces will be also presented. This is a joint work, in progress, with Andrea Cianchi, Lubos Pick and Lenka Slavikova.

Embeddings of Fractional Orlicz-Sobolev Spaces into Campanato type Spaces

Angela Alberico
2022-01-01

Abstract

An optimal embedding theorem for fractional Orlicz-Sobolev spaces into Orlicz spaces will be surveyed. A new embedding for the same fractional spaces into generalized Campanato spaces will be also presented. This is a joint work, in progress, with Andrea Cianchi, Lubos Pick and Lenka Slavikova.
2022
Istituto Applicazioni del Calcolo ''Mauro Picone''
Fractional Orlicz{Sobolev spaces; Sobolev embeddings; Hardy inequalities; compact embeddings; Orlicz spaces; rearrangement-invariant spaces
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/415945
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