Traces of functions with a dominating mixed derivative in $\Bbb R^3$

Title:

Traces of functions with a dominating mixed derivative in $\Bbb R^3$

Creator:

Vybíral, Jan and Sickel, Winfried

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8223de5e-ff29-4a6b-a6f7-a07a8a24e46b
uuid:8223de5e-ff29-4a6b-a6f7-a07a8a24e46b

Subject:

Sobolev spaces of dominating mixed smoothness, Besov and Lizorkin-Triebel classes of dominating mixed smoothness, Fourier analytic characterizations, atomic decompositions, and traces on hyperplanes in oblique position

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We investigate traces of functions, belonging to a class of functions with dominating mixed smoothness in ${\mathbb{R}}^3$, with respect to planes in oblique position. In comparison with the classical theory for isotropic spaces a few new phenomenona occur. We shall present two different approaches. One is based on the use of the Fourier transform and restricted to $p=2$. The other one is applicable in the general case of Besov-Lizorkin-Triebel spaces and based on atomic decompositions.

Language:

English

Rights:

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

Coverage:

1239-1273

Source:

Czechoslovak Mathematical Journal | 2007 Volume:57 | Number:4

Harvested from:

CDK

Metadata only:

false