Title of article
Projections for harmonic Bergman spaces and applications
Author/Authors
Boo Rim Choe، نويسنده , , Hyungwoon Koo، نويسنده , , Heungsu Yi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
34
From page
388
To page
421
Abstract
On the setting of general bounded smooth domains in Rn, we construct L1-bounded nonorthogonal projections and obtain related reproducing formulas for the harmonic Bergman spaces. In addition, we show that those projections satisfy Sobolev Lp-estimates of any order even for p=1. Among applications are Gleasonʹs problems for the harmonic Bergman–Sobolev and (little) Bloch functions on star-shaped domains with strong reference points.
Keywords
projection , Harmonic Bergman function , Gleason’s problem
Journal title
Journal of Functional Analysis
Serial Year
2004
Journal title
Journal of Functional Analysis
Record number
761881
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