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Title: Homogeneous variable exponent Besov and Triebel-Lizorkin spaces
Author: Almeida, Alexandre
Diening, Lars
Hästö, Peter
Keywords: Non-standard growth
variable exponent
homogeneous spaces
Besov space
Triebel--Lizorkin space
Sobolev embedding
Issue Date: 2018
Publisher: Wiley
Abstract: 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.
Peer review: yes
DOI: 10.1002/mana.201700076
ISSN: 0025-584X
Appears in Collections:CIDMA - Artigos

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