A1 Refereed original research article in a scientific journal
Homogeneous variable exponent Besov and Triebel-Lizorkin spaces
Authors: Alexandre Almeida, Lars Diening, Peter Hästö
Publisher: Wiley-VCH Verlag
Publication year: 2018
Journal: Mathematical News / Mathematische Nachrichten
Journal name in source: Mathematische Nachrichten
Volume: 291
Issue: 8-9
First page : 1177
Last page: 1190
Number of pages: 14
ISSN: 0025-584X
eISSN: 1522-2616
DOI: https://doi.org/10.1002/mana.201700076
Self-archived copy’s web address: https://research.utu.fi/converis/portal/Publication/29410486
Abstract
We introduce homogeneous Besov and Triebel–Lizorkin spaces with variable indexes.We show that their study reduces to the study of inhomogeneous variable exponentspaces and homogeneous constant exponent spaces. Corollaries include trace spacecharacterizations and Sobolev embeddings.
We introduce homogeneous Besov and Triebel–Lizorkin spaces with variable indexes.We show that their study reduces to the study of inhomogeneous variable exponentspaces and homogeneous constant exponent spaces. Corollaries include trace spacecharacterizations and Sobolev embeddings.
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