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

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.