Two Classes of Integral Operators over the Siegel Upper Half-Space
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We determine exactly when two classes of integral operators are bounded on weighted \(L^p\) spaces over the Siegel upper half-space.
KeywordsSiegel upper half-space Bergman type operators Weighted \(L^p\) spaces Boundedness
Mathematics Subject ClassificationPrimary 32A35 47G10 Secondary 32A26 30E20
We are grateful to an anonymous referee for several valuable suggestions and especially for pointing out a gap in the proof of Theorem 1 in the original version of this paper. We also wish to thank Professor H. Turgay Kaptanoglu for constructive comments and for bringing the paper by Ruhan Zhao to our attention.
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