Carleson measures for Bergman spaces and their dual Berezin transforms

Author:

Choe Boo,Koo Hyungwoon,Stessin Michael

Abstract

We introduce the notion of weighted dual Berezin transforms and characterize Carleson measures for weighted Bergman spaces over the ball by a certain BMO property of their dual Berezin transforms.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference11 articles.

1. Composition operators acting on holomorphic Sobolev spaces;Choe, Boo Rim;Trans. Amer. Math. Soc.,2003

2. Composition operators between Bergman spaces on convex domains in 𝐶ⁿ;Cima, Joseph A.;J. Operator Theory,1995

3. Studies in Advanced Mathematics;Cowen, Carl C.,1995

4. ℳ-harmonic Besov 𝓅-spaces and Hankel operators in the Bergman space on the ball in 𝒞ⁿ;Hahn, Kyong T.;Manuscripta Math.,1991

5. 𝐿^{𝑝} estimates for (pluri-) subharmonic functions;Hörmander, Lars;Math. Scand.,1967

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