Interpolating Sequences of Parabolic Bergman SpacesReport as inadecuate

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Potential Analysis

, 28:357

First Online: 17 April 2008Received: 03 October 2007Accepted: 12 March 2008


The parabolic Bergman space is a Banach space of L-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.

KeywordsBergman space Interpolating sequence Parabolic operator of fractional order 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.

Mathematics Subject Classifications 2000Primary 35K05 Secondary 26D10 31B10  Download to read the full article text

Author: Masaharu Nishio - Noriaki Suzuki - Masahiro Yamada


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