L^p-L^q Boundedness of Multiparameter Forelli-Rudin Type Operators on the Siegel Upper Half-space

2024/06/14 by Yin, Hongheng, Deng, Guan-Tie, Gao, Zhi-Qiang
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.10188

Abstract

In this article,we present exactly when two classes of multiparameter Forelli-Rudin type integral operators are bounded from one weighted mixed-norm Lebesgue space L^p to another space L^q over the Siegel upper half-space.

Related

• L^p-L^q Boundedness of Multiparameter Forelli-Rudin Type Operators on the Product of Unit Balls of ℂⁿ
• L^p-L^q Boundedness of Multiparameter Forelli-Rudin Type Operators on Tube Domains Over The Forward Light Cones
• Boundedness of Multiparameter Forelli-Rudin Type Operators on Product L^p Spaces over Tubular Domains
• L^p-L^q boundedness of Bergman-type operators over the Siegel upper half-space
• Norm estimates for the Bergman and Cauchy-Szegö projections over the Siegel upper half-space