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The Weighted Bergman Projection and Related Theory on the Minimal Ball

✍ Scribed by G. Mengotti; E.H. Youssfi

Publisher
Elsevier Science
Year
1999
Tongue
French
Weight
164 KB
Volume
123
Category
Article
ISSN
0007-4497

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✦ Synopsis

In this note we compute the weighted Bergman kernel of the unit ball with respect to the smallest norm in C n that extends the euclidian norm in R n . We establish the regularity properties of the corresponding weighted Bergman projection and give some applications.

πŸ“œ SIMILAR VOLUMES

Derivatives of Harmonic Bergman and Bloc
Derivatives of Harmonic Bergman and Bloch Functions on the Ball
✍ 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