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September 10, 2025Mathematische Nachrichten

Lp-LqLᵖ-Lq regularity of Forelli–Rudin‐type operators on some bounded Hartogs domains

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The regularity properties of the Forelli–Rudin operator were established on non-smooth Hartogs domains, enhancing understanding in the field.
Key insights revealed the effects of bounded pseudoconvex domains on operator regularity, underscoring significant mathematical relationships.
This analysis utilized novel approaches in evaluating bounded Hartogs domains, contributing to the theoretical foundation of complex analysis.
Findings highlight the implications for function theory, prompting further research into the impact of geometry on operator behavior.

Implication

Analysis establishes regularity properties of the Forelli–Rudin operator in pseudoconvex domains, suggesting implications for function theory.

Abstract

This paper is concerned with a class of bounded pesudoconvex Hartogs domains, which is defined by the inequality The purpose of this paper is to establish the regularity properties of the Forelli–Rudin‐type operator on this non‐smooth Hartogs domains.

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Cite This Study

Zhu et al. (2025) studied this question.

synapsesocial.com/papers/68c1ad6a54b1d3bfb60e5d7e https://doi.org/10.1002/mana.12034

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Implication

Analysis establishes regularity properties of the Forelli–Rudin operator in pseudoconvex domains, suggesting implications for function theory.

Lp-LqLᵖ-Lq regularity of Forelli–Rudin‐type operators on some bounded Hartogs domains

Key Points

Implication

Abstract

Discussion

Cite This Study

Lp-LqLᵖ-Lq regularity of Forelli–Rudin‐type operators on some bounded Hartogs domains

Key Points

Implication

Abstract

Discussion

Cite This Study

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