Harmonic Bergman Functions on Half-Spaces-Reference-Cited by-同舟云学术

Harmonic Bergman Functions on Half-Spaces

Published:1996 Issue:2 Volume:348 Page:633-660
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Ramey Wade,Yi HeungSu

Abstract

We study harmonic Bergman functions on the upper half-space of R n \mathbf {R}^n . Among our main results are: The Bergman projection is bounded for the range 1 > p > ∞ 1> p > \infty ; certain nonorthogonal projections are bounded for the range 1 ≤ p > ∞ 1\leq p > \infty ; the dual space of the Bergman L 1 L^1 -space is the harmonic Bloch space modulo constants; harmonic conjugation is bounded on the Bergman spaces for the range 1 ≤ p > ∞ 1\leq p > \infty ; the Bergman norm is equivalent to a “normal derivative norm” as well as to a “tangential derivative norm”.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1996-348-02/S0002-9947-96-01383-9/S0002-9947-96-01383-9.pdf

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