Isotropic and Dominating Mixed Besov Spaces - a Comparison
Van Kien Nguyen, Winfried Sickel
TL;DR
This paper compares isotropic and dominating mixed Besov spaces, providing necessary and sufficient conditions for their continuous embeddings, thereby clarifying their relationships in functional analysis.
Contribution
It introduces a comprehensive comparison between isotropic and dominating mixed Besov spaces with precise embedding conditions.
Findings
Established necessary and sufficient embedding conditions
Clarified the relationship between different Besov space types
Enhanced understanding of functional space embeddings
Abstract
We compare Besov spaces with isotropic smoothness with Besov spaces of dominating mixed smoothness. Necessary and sufficient conditions for continuous embeddings will be given.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Navier-Stokes equation solutions · Mathematical Analysis and Transform Methods