Sharp estimates for holomorphic functions on the unit ball of ℂn

The purpose of the paper is to establish sharp estimates for the Hilbert transform and the Riesz projection on the unit sphere of . The proof rests on the existence of certain superharmonic functions on satisfying appropriate majorization conditions.

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Bibliographic Details
Published in:Complex variables and elliptic equations 2015-03, Vol.60 (3), p.323-332
Main Author: Osȩkowski, Adam
Format: Article
Language:English
Subjects:
best constants
Estimates
harmonic function
Hilbert transform
holomorphic function
Riesz projection
Online Access:Get full text
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Description
Summary:The purpose of the paper is to establish sharp estimates for the Hilbert transform and the Riesz projection on the unit sphere of . The proof rests on the existence of certain superharmonic functions on satisfying appropriate majorization conditions.
ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2014.930829