Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-24T18:48:41.834Z Has data issue: false hasContentIssue false

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 ([email protected])
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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