Reduction of integration domain in Triebel-Lizorkin spaces
Functional Analysis
2020-05-25 v3
Abstract
We investigate the comparability of generalized Triebel--Lizorkin and Sobolev seminorms on uniform and non-uniform sets when the integration domain is truncated according to the distance from the boundary. We provide numerous examples of kernels and domains in which the comparability does and does not hold.
Keywords
Cite
@article{arxiv.1810.11353,
title = {Reduction of integration domain in Triebel-Lizorkin spaces},
author = {Artur Rutkowski},
journal= {arXiv preprint arXiv:1810.11353},
year = {2020}
}
Comments
Major changes in Sections 2 and 5. To appear in Studia Mathematica