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UNBOUNDEDNESS OF THE BERGMAN PROJECTIONS ON $L^{p}$ SPACES WITH EXPONENTIAL WEIGHTS

Published online by Cambridge University Press:  27 May 2004

Milutin R. Dostanić
Affiliation:
Matematicki Fakultet, Studentski Trg 16, 11000 Beograd, Serbia and Montenegro (domi@matf.bg.ac.yu)
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Abstract

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We prove that the Bergman projection on $L^p(w)$ $(p\neq 2)$, where $w(r)=(1-r^2)^A\textrm{e}^{-B/(1-r^2)^{\alpha}}$, is not bounded.

AMS 2000 Mathematics subject classification: Primary 47B10

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2004