You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: H. Turgay Kaptanoğlu (Bilkent)
“Reproducing Kernels for Besov Spaces on Bounded Symmetric Domains”
Abstract: We find positive kernels that extend the reproducing kernels of weighted Bergman spaces on bounded symmetric domains to all real values of the weight parameter outside the continuous part of the Wallach set. The new kernels naturally give rise to reproducing kernel Hilbert spaces. We extract fractional differential operators from the coefficients of the kernels and using them define Besov spaces of holomorphic functions by imbedding them into Lebesgue spaces. These are Banach spaces with integral norms and the Hilbert spaces among them coincide with the reproducing kernel Hilbert spaces already obtained. These spaces were considered earlier by Zhu and Wang-Liu. We also obtain reproducing properties for the Hilbert spaces in integral form.
Date: October 14, Wednesday
Time: 16:00
Place: SA141