Compact and continuous embeddings of logarithmic Bessel potential spaces

• Autorzy: David E. Edmunds , Petr Gurka , Bohumír Opic
• Języki publikacji: EN

Abstrakty

EN

We establish compact and continuous embeddings for Bessel potential spaces modelled upon generalized Lorentz-Zygmund spaces. The target spaces are either of Lorentz-Zygmund or Hölder type.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 26D10: Inequalities involving derivatives and differential and integral operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 168
• Numer: 3
• Strony: 229-250

Daty

wydano

2005

Twórcy

autor

David E. Edmunds

• Department of Mathematics, Mantell building, University of Sussex, Falmer, Brighton BN1 9RF, England

autor

Petr Gurka

• Department of Mathematics, Czech University of Agriculture, 165 21 Praha 6, Czech Republic

autor

Bohumír Opic

• Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic

Identyfikatory

DOI

10.4064/sm168-3-4