SOME TOEPLITZ OPERATORS ON WEIGHTED BERGMAN SPACES

  • Kang, Si Ho
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초록

We consider the problem to determine when a Toeplitz operator is bounded on weighted Bergman spaces. We show that Toeplitz operators induced by elements of some set are bounded and each element of the set is related with a Carleson measure on the weighted Bergman space.

키워드

weighted Bergman spacesToeplitz operatorsBerezin transformsintegral operators
제목
SOME TOEPLITZ OPERATORS ON WEIGHTED BERGMAN SPACES
저자
Kang, Si Ho
DOI
10.4134/BKMS.2011.48.1.141
발행일
2011-01
유형
Article
저널명
대한수학회보
48
1
페이지
141 ~ 149