Interpolating Sequences of Parabolic Bergman Spaces

Interpolating Sequences of Parabolic Bergman Spaces

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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Veröffentlicht in:Potential analysis 2008-06, Vol.28 (4), p.357-378
Hauptverfasser: Nishio, Masaharu, Suzuki, Noriaki, Yamada, Masahiro
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Geometry
Mathematics
Mathematics and Statistics
Potential Theory
Probability Theory and Stochastic Processes
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Beschreibung
Zusammenfassung: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.
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-008-9082-8