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Gleason's problem for harmonic Bergman and Bloch functions on half-spaces

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Publication:1566819
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DOI10.1007/BF01213925zbMath0947.31002MaRDI QIDQ1566819

HeungSu Yi, Hyungwoon Koo, Boo Rim Choe

Publication date: 4 June 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)


zbMATH Keywords

reproducing kernelGleason's problemharmonic Bergman spaceharmonic Bloch space


Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Bergman spaces of functions in several complex variables (32A36)


Related Items

Projections for harmonic Bergman spaces and applications, Derivatives of harmonic Bergman and Bloch functions on the ball, Harmonic Bergman functions as radial derivatives of Bergman functions



Cites Work

  • The Bergman Spaces, The Bloch Space, and Gleason's Problem
  • Projections, the Weighted Bergman Spaces, and the Bloch Space
  • Harmonic Bergman Functions on Half-Spaces
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