Poly-Bergman spaces on domains Möbius equivalent to a disk
 
 
Description:  Let $U$ be a complex domain Möbius equivalent to a disk and let $j$ be a non zero integer. The talk will focus on explicit representation of the poly-Bergman projection of order $j$ in terms of the canonical two-dimensional singular integral operators. One also shows how the Lebesgue space $L^2(U, dA)$ decompose on the true poly-Bergman spaces, where $dA$ is the element of Lebesgue area measure. The poly-Bergman kernels of $U$ are explicitly calculated.
Date:  2010-06-18
Start Time:   14:30
Speaker:  Luis V. Pessoa (IST, Lisbon)
Institution:  IST
Place:  Room 5.5
Research Groups: -Analysis
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