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Schatten class Toeplitz operators on the parabolic Bergman space II
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- Nishio Masaharu
- Department of Mathematics Osaka City University
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- Suzuki Noriaki
- Department of Mathematics Meijo University
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- Yamada Masahiro
- Department of Mathematics Faculty of Education Gifu University
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Description
Let 0 < α ≤ 1 and let b2α be a Hilbert space of all square integrable solutions of a parabolic equation (∂t + (−Δ)α)u = 0 on the upper half space. We study the Toeplitz operators on b2α, which we characterize to be of Schatten class whose exponent is smaller than 1. For the proof, we use an atomic decomposition theorem of parabolic Bergman functions. Generalizations to Schatten class operators for Orlicz type and Herz type are also discussed.
Journal
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- Kodai Mathematical Journal
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Kodai Mathematical Journal 35 (1), 52-77, 2012
Institute of Science Tokyo, Department of Mathematics
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Keywords
Details 詳細情報について
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- CRID
- 1390282680248508160
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- NII Article ID
- 130004496158
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- ISSN
- 18815472
- 03865991
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- MRID
- 2911266
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
- OpenAIRE
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- Abstract License Flag
- Disallowed