Carleson type measures on parabolic Bergman spaces--Dedicated to Professor Takehiko Nakazi on his sixtieth birthday
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- Nishio Masaharu
- Department of Mathematics, Faculty of Science, Osaka City University
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- Yamada Masahiro
- Department of Mathematics, Faculty of Education, Gifu University
書誌事項
- タイトル別名
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- Carleson type measures on parabolic Bergman spaces
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抄録
Let bpα, 0<α≤1, be the parabolic Bergman space, the Banach space of solutions of parabolic equations (∂/∂ t+(-Δ)α)u=0 on the upper half space Rn+1+ which have finite Lp norms. We study Carleson type measures on bpα and give a necessary and sufficient condition for a measure μ on Rn+1+ to be of Carleson type on bpα. As an application, we characterize bounded Toeplitz operators in the space b2α.
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 58 (1), 83-96, 2006
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
- 1390282680093196544
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- NII論文ID
- 10017178289
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 2204566
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- NDL書誌ID
- 7783269
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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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