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Homogeneous variable exponent Besov and Triebel–Lizorkin spaces

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  • Alexandre Almeida
  • Lars Diening
  • Peter Hästö

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.

Suggested Citation

  • Alexandre Almeida & Lars Diening & Peter Hästö, 2018. "Homogeneous variable exponent Besov and Triebel–Lizorkin spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 291(8-9), pages 1177-1190, June.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:8-9:p:1177-1190
    DOI: 10.1002/mana.201700076
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    Cited by:

    1. Raffaella Giova, 2020. "Besov regularity for solutions of elliptic equations with variable exponents," Mathematische Nachrichten, Wiley Blackwell, vol. 293(8), pages 1459-1480, August.

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