Interpolating Sequences of Parabolic Bergman Spaces |
| |
| Authors: | Masaharu Nishio Noriaki Suzuki Masahiro Yamada |
| |
| Institution: | (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 |
| |
| 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. |
| |
| Keywords: | Bergman space Interpolating sequence Parabolic operator of fractional order |
| 本文献已被 SpringerLink 等数据库收录！ |
|
