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Toeplitz Operators on the Bergman Space of Multi-connected Domains 被引量:3

Toeplitz Operators on the Bergman Space of Multi-connected Domains
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摘要 In this paper, we investigate the Toeplitz operators with positive measure symbols on the Bergman spaces of bounded multi-connected domains and show that a Toeplitz operator is bounded or compact if and only if the symbol measure is a Carleson or vanishing Carleson measure respectively. In this paper, we investigate the Toeplitz operators with positive measure symbols on the Bergman spaces of bounded multi-connected domains and show that a Toeplitz operator is bounded or compact if and only if the symbol measure is a Carleson or vanishing Carleson measure respectively.
作者 于涛 曹广福
出处 《Northeastern Mathematical Journal》 CSCD 2001年第4期487-493,共7页 东北数学(英文版)
基金 This work was supported by the NSF (19971061) of China and the Science Foundation ofFushun Petroleum Institute.
关键词 Bergman space Toeplitz operator Carleson measure multi-connected domain Bergman space, Toeplitz operator, Carleson measure, multi-connected domain
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