"Integral Transforms on L^p Spaces
on the Real Unit Ball and Their Applications
to Harmonic Besov Spaces"
Abstract: The integral transforms have kernels that are derived from the harmonic weighted Bergman-Besov kernels or the powers of the Poisson kernel on the real unit ball and their weights. We prove their boundedness from a Schur lemma and the growth rates of the kernels. We present an application that shows that harmonic Besov spaces can be described by an integral norm in which the order of the derivative on the function can be anything as long as it is above a certain threshold. There are applications also to boundedness of Bergman projections on these spaces.
Date: Tuesday, December 03, 2013
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the seminar.