The range of the Berezin transform

DOI10.1007/s10958-017-3656-1zbMath1394.30042OpenAlexW2780800265MaRDI QIDQ1701760

Peng Zhang

Publication date: 27 February 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3656-1

zbMATH Keywords

harmonic functionsholomorphic functionsBerezin transform

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items

Convexity of the Berezin range, The Berezin transform and its applications, A generalization of the Brown-Halmos theorems for the unit ball, Toeplitz operators on the weighted Bergman spaces of quotient domains, Toeplitz-Berezin-type symbols and solutions of some operator equations, Uncertainty principle for Weyl transform and Fourier–Wigner transform, Finite rank Bargmann–Toeplitz operators with non-compactly supported symbols, D. Luecking's finite rank theorem for Toeplitz operator, Benedicks' theorem on the Heisenberg group, and uncertainty principle for the Fourier-Wigner transform, The finite rank theorem for Toeplitz operators on the Fock space

Cites Work

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• Finite rank Toeplitz operators: Some extensions of D.\,Luecking's theorem
• An invariant volume-mean-value property
• Berezin versus Mellin.
• On the range of the Berezin transform
• Finite rank Toeplitz operators on the Bergman space
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators