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.
Jiaxin LIU
,
Guantie DENG
,
Zhiqiang GAO
. BOUNDEDNESS OF FORELLI-RUDIN TYPE OPERATORS ON TUBE DOMAINS OVER THE FORWARD LIGHT CONES[J]. Acta mathematica scientia, Series B, 2025
, 45(4)
: 1235
-1246
.
DOI: 10.1007/s10473-025-0401-6
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