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

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

On the setting of the half-space Rn-1 × R+, we investigate Gleason's problem for harmonic Bergman and Bloch functions. We prove that Gleason's problem for the harmonic Lp-Bergman space is solvable if and only if p > n. We also prove that Gleason's problem for the harmonic (little) Bloch space is solvable.

Original languageEnglish
Pages (from-to)269-287
Number of pages19
JournalIntegral Equations and Operator Theory
Volume36
Issue number3
Publication statusPublished - 2000 Mar 1

Fingerprint

Bloch Functions
Half-space
Harmonic
Bloch Space
Bergman Space
Lp Spaces
If and only if

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis

Cite this

Gleason's problem for harmonic Bergman and Bloch functions on half-spaces. / Choe, Boo Rim; Koo, Hyung Woon; Yi, Heungsu.

In: Integral Equations and Operator Theory, Vol. 36, No. 3, 01.03.2000, p. 269-287.

Research output: Contribution to journalArticle

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