Volume 291, Issue 8-9
ORIGINAL PAPER

Homogeneous variable exponent Besov and Triebel–Lizorkin spaces

Alexandre Almeida

Department of Mathematics, CIDMA, University of Aveiro, 3810‐193 Aveiro, Portugal

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Lars Diening

University Bielefeld, Faculty of Mathematics, Postfach 10 01 31, 33501 Bielefeld, Germany

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Peter Hästö

Corresponding Author

E-mail address: peter.hasto@oulu.fi

Department of Mathematics and Statistics, FI‐20014 University of Turku, Finland

Department of Mathematical Sciences, FI‐90014 University of Oulu, Finland

Correspondence

Peter Hästö, Department of Mathematics and Statistics, FI‐20014 University of Turku, Finland

Department of Mathematical Sciences, FI‐90014 University of Oulu, Finland. Email: peter.hasto@oulu.fi

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First published: 05 December 2017
Citations: 1

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.

Number of times cited according to CrossRef: 1

  • Besov regularity for solutions of elliptic equations with variable exponents, Mathematische Nachrichten, 10.1002/mana.201900185, 293, 8, (1459-1480), (2020).

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