Homogeneous variable exponent Besov and Triebel-Lizorkin spaces

We introduce homogeneous Besov and Triebel--Lizorkin spaces with variable indexes. We show that their study reduces to the study of inhomogeneous variable exponent spaces and homogeneous constant exponent spaces. Corollaries include trace space characterizations and Sobolev embeddings.

Bibliographic Details
Main Author: Almeida, Alexandre (author)
Other Authors: Diening, Lars (author), Hästö, Peter (author)
Format: article
Language:eng
Published: 2018
Subjects:
Non-standard growth
variable exponent
homogeneous spaces
Besov space
Triebel > Lizorkin space
Sobolev embedding
Traces
Online Access:http://hdl.handle.net/10773/23897
Country:Portugal
Oai:oai:ria.ua.pt:10773/23897

Internet

http://hdl.handle.net/10773/23897

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