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Homogeneous variable exponent Besov and Triebel–Lizorkin spaces
Author(s) -
Almeida Alexandre,
Diening Lars,
Hästö Peter
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700076
Subject(s) - mathematics , homogeneous , sobolev space , exponent , besov space , variable (mathematics) , trace (psycholinguistics) , space (punctuation) , constant (computer programming) , pure mathematics , mathematical analysis , interpolation space , combinatorics , functional analysis , computer science , philosophy , linguistics , biochemistry , chemistry , gene , programming language , operating system
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.