Interpolating Sequences of Parabolic Bergman Spaces |
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| Authors: | Masaharu Nishio Noriaki Suzuki Masahiro Yamada |
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| Affiliation: | (1) Department of Mathematics, Osaka City University, Sugimoto, Sumiyoshi 3–3–138, 558–8585 Osaka, Japan;(2) Graduate School of Mathematics, Nagoya University, Chikusa-ku, 464–8602 Nagoya, Japan;(3) Department of Mathematics, Faculty of Education, Gifu University, Yanagido 1–1, 501–1193 Gifu, Japan |
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| Abstract: | The parabolic Bergman space is a Banach space of L p -solutions of some parabolic equations on the upper half-space H. We study interpolating theorem for these spaces. It is shown that if a sequence in H is δ-separated with δ sufficiently near 1, then it interpolates on parabolic Bergman spaces. This work was supported in part by Grant-in-Aid for Scientific Research (C) No.18540168, No.18540169, and No.19540193, Japan Society for the Promotion of Science. |
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| Keywords: | Bergman space Interpolating sequence Parabolic operator of fractional order |
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