Weighted L∞-estimates for Bergman projections
José Bonet ; Miroslav Engliš ; Jari Taskinen
Studia Mathematica, Tome 166 (2005), p. 67-92 / Harvested from The Polish Digital Mathematics Library
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We consider Bergman projections and some new generalizations of them on weighted L∞()-spaces. A new reproducing formula is obtained. We show the boundedness of these projections for a large family of weights v which tend to 0 at the boundary with a polynomial speed. These weights may even be nonradial. For logarithmically decreasing weights bounded projections do not exist. In this case we instead consider the projective description problem for holomorphic inductive limits.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:284479 
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     author = {Jos\'e Bonet and Miroslav Engli\v s and Jari Taskinen},
     title = {Weighted $L^{$\infty$}$-estimates for Bergman projections},
     journal = {Studia Mathematica},
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     year = {2005},
     pages = {67-92},
     zbl = {1082.47027},
     language = {en},
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José Bonet; Miroslav Engliš; Jari Taskinen. Weighted $L^{∞}$-estimates for Bergman projections. Studia Mathematica, Tome 166 (2005) pp. 67-92. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm171-1-4/