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arXiv · 2511.12967

Boundedness of Forelli-Rudin Type Operators on Tubular Domains over The Generalized Light Cones

Xin Xia·GuanTie Deng
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Abstract

This study investigates conditions for the boundedness of Forelli-Rudin type operators on weighted Lebesgue spaces associated with tubular domains over the generalized light cone. We establish a complete characterization of the boundedness for two classes of Forelli-Rudin type operators from $L_{\boldsymbol{\alpha}}^{p}$ to $L_{\boldsymbol{\beta}}^{q}$, in the range $1 < p \leq q < \infty$. The findings contribute significantly to the analysis of Bergman projection operators in this setting.

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BibTeXRIS

Xin Xia, GuanTie Deng. 2025-11-17. Boundedness of Forelli-Rudin Type Operators on Tubular Domains over The Generalized Light Cones. https://arxiv.org/abs/2511.12967

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