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2000 Two-weighted inequalities for the derivatives of holomorphic functions and Carleson measures on the unit ball
Hyeonbae Kang, Hyungwoon Koo
Nagoya Math. J. 158: 107-131 (2000).

Abstract

We characterize those positive measure $\mu$'s on the higher dimensional unit ball such that "two-weighted inequalities" hold for holomorphic functions and their derivatives. Characterizations are given in terms of the Carleson measure conditions. The results of this paper also distinguish between the fractional and the tangential derivatives.

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Hyeonbae Kang. Hyungwoon Koo. "Two-weighted inequalities for the derivatives of holomorphic functions and Carleson measures on the unit ball." Nagoya Math. J. 158 107 - 131, 2000.

Information

Published: 2000
First available in Project Euclid: 27 April 2005

zbMATH: 0964.32001
MathSciNet: MR1766570

Subjects:
Primary: ‎32A36‎
Secondary: 32A35‎

Rights: Copyright © 2000 Editorial Board, Nagoya Mathematical Journal

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Vol.158 • 2000
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