Harmonic Berezin transform on half-space with vertical weights

DOI10.1016/j.jmaa.2024.128785MaRDI QIDQ6635196

Jaroslav Bradík

Publication date: 9 November 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionBergman kernelBerezin transformharmonic Bergman kernel

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Cites Work

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• Berezin transform on the harmonic Fock space
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• Weighted reproducing kernels and Toeplitz operators on harmonic Bergman spaces on the real ball
• QUANTIZATION
• A “deformation estimate" for the Toeplitz operators on harmonic Bergman spaces

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