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Boundary behavior of harmonic functions in metrics of Bergman type on the polydisc

✍ Scribed by Li, Song-Ying; Simon, Ezequias


Book ID
118225374
Publisher
John Hopkins University Press
Year
2002
Tongue
English
Weight
214 KB
Volume
124
Category
Article
ISSN
0002-9327

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✍ Jiecheng Chen πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 161 KB

In this paper, we mainly set up a kind of representation theorem of harmonic functions on manifolds with Ricci curvature bounded below and study non-tangential limits of harmonic functions.  2002 Elsevier Science (USA)

Derivatives of Harmonic Bergman and Bloc
✍ Boo Rim Choe; Hyungwoon Koo; HeungSu Yi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 169 KB

On the setting of the unit ball of euclidean n-space, we investigate properties of derivatives of functions in the harmonic Bergman space and the harmonic Bloch space. Our results are (1) size estimates of derivatives of the harmonic Bergman kernel, (2) Gleason's problem, and (3) characterizations i