**"****Integral Transforms on L^p Spaces **

**on the Real
Unit Ball and Their Applications **

**to Harmonic Besov
Spaces****"**

By

**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**

**Time: ****16.00**

**Place: ****Mathematics Seminar Room,
SA-141**

Tea and cookies will be served before the
seminar.