Schatten class Toeplitz operators on the parabolic Bergman space II
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概要
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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.
- 国立大学法人 東京工業大学大学院理工学研究科数学専攻の論文
著者
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Suzuki Noriaki
Department Of Mathematics Meijo University
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Nishio Masaharu
Department Of Mathematics Faculty Of Science Osaka City University
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Yamada Masahiro
Department Of Anatomy 1 Asahikawa Medical College
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SUZUKI NORIAKI
Department of Chemical Engineering, Shizuoka University
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