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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抄録
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.
収録刊行物
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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
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390282680093340160
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- NII論文ID
- 130003384665
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 024947193
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可