Traces of anisotropic Besov-Lizorkin-Triebel spaces-a complete treatment of the borderline cases

Title:

Traces of anisotropic Besov-Lizorkin-Triebel spaces-a complete treatment of the borderline cases

Creator:

Farkas, Walter, Johnsen, Jon, and Sickel, Winfried

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:26c0aff8-7a30-4192-b3ea-9e17935a9576
uuid:26c0aff8-7a30-4192-b3ea-9e17935a9576
doi:10.21136/MB.2000.126262

Subject:

anisotropic Besov and Lizorkin-Triebel spaces, approximation spaces, trace operators, boundary problems, interpolation, atomic decompositions, refined Sobolev embeddings, and anisotropic scales

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Including the previously untreated borderline cases, the trace spaces (in the distributional sense) of the Besov-Lizorkin-Triebel spaces are determined for the anisotropic (or quasi-homogeneous) version of these classes. The ranges of the traces are in all cases shown to be approximation spaces, and these are shown to be different from the usual spaces precisely in the cases previously untreated. To analyse the new spaces, we carry over some real interpolation results as well as the refined Sobolev embeddings of J. Franke and B. Jawerth to the anisotropic scales.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1-37

Source:

Mathematica bohemica | 2000 Volume:125 | Number:1

Harvested from:

CDK

Metadata only:

false