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.
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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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Nishio, M., Suzuki, N. & Yamada, M. Interpolating Sequences of Parabolic Bergman Spaces. Potential Anal 28, 357–378 (2008). https://doi.org/10.1007/s11118-008-9082-8
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DOI: https://doi.org/10.1007/s11118-008-9082-8