- July 9, 2010 , Friday - 15h00 (Room
P
3.10):
Poly-Bergman
spaces on domains Möbius-equivalent to a disk
Luís Pessoa
(Instituto Superior Técnico, UT Lisboa)
Abstract. 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 L2(U;
dA) decomposes on the true poly-Bergman
spaces, where dA is the element of Lebesgue area
measure. The
poly-Bergman kernels of U are explicitly
calculated.
Seminars take place in Lisbon, I.S.T. -
Post Graduation Building
Webpage: http://www.math.ist.utl.pt/funcional
