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laplace method

Proceedings of the Edinburgh Mathematical Society (1)

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UNBOUNDEDNESS OF THE BERGMAN PROJECTIONS ON $L^{p}$ SPACES WITH EXPONENTIAL WEIGHTS
Milutin R. Dostanić
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 47 / Issue 1 / February 2004

Published online by Cambridge University Press:

27 May 2004, pp. 111-117
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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