Carleson measures and balayage for Bergman spaces of strongly pseudoconvex domains

Authors :: Zhangjian Hu
Xiaofen Lv
Kehe Zhu
Source :: Mathematische Nachrichten. 289:1237-1254
Publication Year :: 2015
Publisher :: Wiley, 2015.
Abstract: Given a bounded strongly pseudoconvex domain D in with smooth boundary, we characterize -Bergman Carleson measures for , , and . As an application, we show that the Bergman space version of the balayage of a Bergman Carleson measure on D belongs to BMO in the Kobayashi metric.

Subjects :: Pure mathematics
Balayage
General Mathematics
010102 general mathematics
Mathematical analysis
Boundary (topology)
01 natural sciences
Domain (mathematical analysis)
Carleson measure
Bergman space
Bounded function
0103 physical sciences
010307 mathematical physics
0101 mathematics
Kobayashi metric
Mathematics
Bergman kernel

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