"Derivative-Free Characterization of
Harmonic Besov Spaces"
HAKKI TURGAY KAPTANOĞLU
Abstract: This is a presentation of a recent paper of Adem Ersin \"Ureyen to appear in the Journal of Mathematical Analysis and Applications. The starting point is an estimate of the oscillation of the reproducing kernels of harmonic Besov spaces b_q^p on the unit ball of R^n for q>-n. This leads to several characterizations of harmonic Besov spaces in a large region of p and q. They are mostly in the form of the finiteness of a weighted double integral of some kind of difference quotient of the functions. In a certain way, the region of p and q considered is the largest possible.
Date: Wednesday, November 4, 2015
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the seminar.