Interpolating Sequences of Parabolic Bergman Spaces

被引：0
|
作者：
Masaharu Nishio
Noriaki Suzuki
Masahiro Yamada
机构：
[1] Osaka City University,Department of Mathematics
[2] Nagoya University,Graduate School of Mathematics
[3] Gifu University,Department of Mathematics, Faculty of Education
来源：
Potential Analysis | 2008年 / 28卷
关键词：
Bergman space; Interpolating sequence; Parabolic operator of fractional order; Primary 35K05; Secondary 26D10; 31B10;
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摘要：
The parabolic Bergman space is a Banach space of Lp-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.
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