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Products of Toeplitz operators on the Fock space
Multi angle
Authors : Zhu, Kehe (Author of the conference)
CIRM (Publisher )
47B35 - Toeplitz operators, Hankel operators, Wiener-Hopf operators
30H20 - Bergman spaces, Fock spaces
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 47B35 - Toeplitz operators, Hankel operators, Wiener-Hopf operators
30H20 - Bergman spaces, Fock spaces
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 10/11/14 Conference Date : 28/10/14 Subseries : Research talks arXiv category : Functional Analysis Mathematical Area(s) : Analysis and its Applications Format : MP4 (.mp4) - HD Video Time : 00:51:35 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-10-28_Zhu.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair : Function spaces and harmonic analysis / Chaire Jean-Morlet : Espaces fonctionnels et analyse harmoniqueEvent Organizers : Feichtinger, Hans G. ; Borichev, Alexander A. ; Charpentier, Stéphane ; Youssfi, El Hassan ; Zarouf, Rachid Dates : 27/10/14 - 31/10/14 Event Year : 2014 Event URL : https://www.chairejeanmorlet.com/1251.html
Citation Data
DOI : 10.24350/CIRM.V.18623503Cite this video as: Zhu, Kehe (2014). Products of Toeplitz operators on the Fock space. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18623503 URI : http://dx.doi.org/10.24350/CIRM.V.18623503 |
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