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Derivatives of Harmonic Bergman and Bloch Functions on the Ball

✍ Scribed by Boo Rim Choe; Hyungwoon Koo; HeungSu Yi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
169 KB
Volume
260
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 in terms of radial, tangential, and ordinary derivative norms. In the course of proofs, some reproducing formulas are found and estimated.

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