Isotropic and Dominating Mixed Lizorkin - Triebel Spaces - a Comparison
Van Kien Nguyen, Winfried Sickel
TL;DR
This paper compares isotropic Lizorkin-Triebel spaces with their dominating mixed smoothness counterparts to understand their similarities and differences in functional analysis.
Contribution
It provides a detailed comparison between isotropic and dominating mixed Lizorkin-Triebel spaces, highlighting their key properties and distinctions.
Findings
Identifies key differences in smoothness properties
Establishes embedding relations between spaces
Clarifies the functional-analytic structure
Abstract
We shall compare isotropic Lizorkin-Triebel spaces with their counterparts of dominating mixed smoothness.
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