Carleson type measures on parabolic Bergman spaces
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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
Bibliographic Information
- Other Title
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- Carleson type measures on parabolic Bergman spaces--Dedicated to Professor Takehiko Nakazi on his sixtieth birthday
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Abstract
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.
Journal
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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
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390282680093196544
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- NII Article ID
- 10017178289
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 2204566
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- NDL BIB ID
- 7783269
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed