Mixed norms and Sobolev type inequalities

• Autorzy: V. I. Kolyada
• Języki publikacji: EN

Abstrakty

EN

We study mixed norm spaces that arise in connection with embeddings of Sobolev and Besov spaces. We prove Sobolev type inequalities in terms of these mixed norms. Applying these results, we obtain optimal constants in embedding theorems for anisotropic Besov spaces. This gives an extension of the estimate proved by Bourgain, Brezis and Mironescu for isotropic Besov spaces.

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 72
• Numer: 1
• Strony: 141-160

Daty

wydano

2006

Twórcy

autor

V. I. Kolyada

• Department of Mathematics, Karlstad University, Universitetsgatan 1, 651 88 Karlstad, Sweden

Identyfikatory

DOI

10.4064/bc72-0-10