Positive Toeplitz operators on weighted Bergman spaces of a minimal bounded homogeneous domain
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- Yamaji Satoshi
- Graduate School of Mathematics, Nagoya University
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Abstract
We give criteria for the boundedness of positive Toeplitz operators on weighted Bergman spaces of a minimal bounded homogeneous domain in terms of the Berezin symbol or the averaging function of the symbol. Moreover, we estimate the essential norm of positive Toeplitz operators assuming that they are bounded. As an application of these estimates, we also give necessary and sufficient conditions for the positive Toeplitz operators to be compact.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 65 (4), 1101-1115, 2013
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390282680093340160
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- NII Article ID
- 130003384665
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 024947193
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed