Reduction of integration domain in Triebel-Lizorkin spaces

Published 26 Oct 2018 in math.FA | (1810.11353v3)

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.

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Authors (1)

Artur Rutkowski

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