Reduction of integration domain in Triebel–Lizorkin spaces
Volume 259 / 2021
Studia Mathematica 259 (2021), 121-152
MSC: Primary 46E35; Secondary 31C25.
DOI: 10.4064/sm190729-14-5
Published online: 21 December 2020
Abstract
We investigate the comparability of generalized Triebel–Lizorkin and Sobolev seminorms on uniform and nonuniform domains 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.
