On multipliers for Hardy-Sobolev spaces and holomorphic potentials
Carme Cascante, Joan F\`abrega, Joaqu\'in M. Ortega
TL;DR
This paper investigates generalized integral operators acting on multipliers of holomorphic Triebel-Lizorkin spaces, constructs examples of multipliers in Hardy-Sobolev spaces, and explores their applications.
Contribution
It introduces new examples of pointwise multipliers in Hardy-Sobolev spaces and analyzes the action of Bergman-type operators on these multipliers.
Findings
Constructed nontrivial pointwise multipliers in Hardy-Sobolev spaces
Analyzed the action of generalized Bergman-type operators on multipliers
Provided applications demonstrating the relevance of these multipliers
Abstract
We study the action of some generalized integral operators of Bergman type on pointwise multipliers of holomorphic Triebel-Lizorkin spaces. We construct nontrivial examples of pointwise multipliers in Hardy-Sobolev spaces and give applications of all these results.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Mathematical Physics Problems · Spectral Theory in Mathematical Physics