Abstract. In this talk, the aim is to present some results of my master thesis on Fock spaces.
First of all there will be a short introductory part. After that, a theorem which relates the spaces $F_{\alpha}^p$ and $L^p(\mathbb C, e^{- \frac{\alpha p}{2} |z|^2} dA(z))$ will be presented. At the end of this presentation some conditions on the boundedness and the compactness of the integral operator $T_g : F^p \rightarrow F^q$, which is given by $T_g(f )(z) = \int_0^z f (\zeta) g'(\zeta)d\zeta$, will be discussed.
On some properties of Fock spaces and the boundedness and compactness of the integral operator $T_g$
30.01.2018 16:00 - 17:30
Location:
Seminar room 8, 2nd floor, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria