BOUNDEDNESS OF FORELLI-RUDIN TYPE OPERATORS ON TUBE DOMAINS OVER THE FORWARD LIGHT CONES

【摘要】 We explore some necessary and sufficient conditions for the boundedness of the Forelli-Rudin type operator T on the weighted Lebesgue space associated with tubular domains over the forward light cone. Our approach involves conducting precise computations for a series of complex integrals to identify appropriate test functions, and through a detailed analysis of these test functions, we derive the boundedness properties of the operator T. This work is significant in the study of the Bergman projection operators.更多还原

【Abstract】 We explore some necessary and sufficient conditions for the boundedness of the Forelli-Rudin type operator T on the weighted Lebesgue space associated with tubular domains over the forward light cone. Our approach involves conducting precise computations for a series of complex integrals to identify appropriate test functions, and through a detailed analysis of these test functions, we derive the boundedness properties of the operator T. This work is significant in the study of the Bergman projection operators.更多还原