Products of Toeplitz operators on the Fock space | Vidéo | Carmin.tv

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Products of Toeplitz operators on the Fock space

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

Date of recording 28/10/2014
Date of publication 10/11/2014
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

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

Domain(s)

Functional Analysis

MSC codes

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