Off-Diagonal Boundedness and Unboundedness of Product Bergman-Type Operators

Justice Sam Bansah; Benoît Florent Sehba

doi:10.1007/s00025-019-0965-3

Off-Diagonal Boundedness and Unboundedness of Product Bergman-Type Operators

Justice Sam Bansah, Benoît Florent Sehba

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we discuss boundedness and unboundedness of Bergman-type operators on product of upper-half planes. A new product version of the Okikiolu’s theorem and Cayley’s transform play a crucial role in the proof of the results.

Original language	English
Article number	43
Journal	Results in Mathematics
Volume	74
Issue number	1
DOIs	https://doi.org/10.1007/s00025-019-0965-3
Publication status	Published - 1 Mar 2019

Keywords

Bergman projection
Gamma function
upper-half plane

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10.1007/s00025-019-0965-3

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title = "Off-Diagonal Boundedness and Unboundedness of Product Bergman-Type Operators",

abstract = "In this paper we discuss boundedness and unboundedness of Bergman-type operators on product of upper-half planes. A new product version of the Okikiolu{\textquoteright}s theorem and Cayley{\textquoteright}s transform play a crucial role in the proof of the results.",

keywords = "Bergman projection, Gamma function, upper-half plane",

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AB - In this paper we discuss boundedness and unboundedness of Bergman-type operators on product of upper-half planes. A new product version of the Okikiolu’s theorem and Cayley’s transform play a crucial role in the proof of the results.

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KW - Gamma function

KW - upper-half plane

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JO - Results in Mathematics

JF - Results in Mathematics

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Off-Diagonal Boundedness and Unboundedness of Product Bergman-Type Operators

Abstract

Keywords

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