Jean Morlet Chair - 2014 - Sem 2 - Feichtinger - Torresani

Collection Jean Morlet Chair - 2014 - Sem 2 - Feichtinger - Torresani

Organizer(s) Prof. Hans Georg FEICHTINGER Universität Wien Nuhag Group and Prof. Bruno TORRESANI I2M Marseille Aix-Marseille Université
Date(s) 01/08/2014 - 30/01/2015
linked URL https://www.chairejeanmorlet.com/2014-2-feichtinger-torresani.html
00:00:00 / 00:00:00
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Products of Toeplitz operators on the Fock space

By Kehe Zhu

Also appears in collection : Jean-Morlet Chair : Function spaces and harmonic analysis / Chaire Jean-Morlet : Espaces fonctionnels et analyse harmonique

Let $f$ and $g$ be functions, not identically zero, in the Fock space $F^2$ of $C^n$. We show that the product $T_fT_\bar{g}$ of Toeplitz operators on $F^2$ is bounded if and only if $f= e^p$ and $g= ce^{-p}$, where $c$ is a nonzero constant and $p$ is a linear polynomial.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.18623503
  • Cite this video Zhu, Kehe (28/10/2014). Products of Toeplitz operators on the Fock space. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18623503
  • URL https://dx.doi.org/10.24350/CIRM.V.18623503

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