Mixed radial-angular integrabilities for Hausdorff type operators
Ronghui Liu, Guanghui Lu
TL;DR
This paper investigates mixed radial-angular integrability properties of Hausdorff operators and their commutators, expanding understanding of their behavior in harmonic analysis.
Contribution
It introduces new mixed integrability results for Hausdorff operators and their commutators, enhancing the theoretical framework in harmonic analysis.
Findings
Established new integrability bounds for Hausdorff operators.
Analyzed the boundedness of commutators in mixed radial-angular spaces.
Extended existing theories to include broader classes of Hausdorff operators.
Abstract
This paper is devoted to studying some mixed radial-angular integrabilities for various types of Hausdorff operators and commutators
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Taxonomy
TopicsHolomorphic and Operator Theory · Approximation Theory and Sequence Spaces · Advanced Banach Space Theory