1. Traces of functions with a dominating mixed derivative in $\Bbb R^3$
- Creator:
- Vybíral, Jan and Sickel, Winfried
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- 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
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public