Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Mat. Fiz. Anal. Geom.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2020, Volume 16, Number 1, Pages 3–26
DOI: https://doi.org/10.15407/mag16.01.003 (Mi jmag744) 		 
Toeplitz operators with radial symbols on Bergman space and Schatten-von Neumann classes

Z. Bendaouda, S. Kupinb, K. Toumachec, B. Touréd, R. Zaroufe

a Faculté des Sciences, Université Amar Telidji–Laghouat, B.P. 37G, route de Ghardaia, Laghouat 03000, Algérie
b Institut de Mathématiques de Bordeaux UMR5251, CNRS, Université de Bordeaux, 351ave. de la Libération, 33405 Talence Cedex, France
c Faculté des Sciences Exactes, des Sciences de la Nature et de la Vie, Université MohamedKhider–Biskra, B.P. 145, Biskra 07000, Algérie
d Faculté des Sciences et des Techniques, Université des Sciences, des Techniques et des Technologies de Bamako, Campus Universitaire de Badalabougou à Bamako, B.P. E-3206, Bamako, Mali
e Institut de Mathématiques de Marseille, UMR 7373, Aix-Marseille Université, 39 rue F.Joliot Curie, 13453 Marseille Cedex 13, France
Full-text PDF (379 kB)
References:
PDF
HTML
DOI: https://doi.org/10.15407/mag16.01.003
Abstract: In the present paper, we study spectral properties of Toeplitz operators with (quasi-) radial symbols on Bergman space. More precisely, the problem we are interested in is to understand when a given Toeplitz operator belongs to a Schatten–von Neumann class. The methods of the approximation theory (i.e., Legendre polynomials) are used to advance in this direction.
Key words and phrases: Toeplitz operators, (quasi-) radial symbols, Bergman spaces, Schatten–von Neumann classes, Legendre polynomials.
Funding agency Grant number
Agence Nationale de la Recherche ANR-18-CE40-0035
This research is partially supported by the project ANR-18-CE40-0035. We would like to thank L. Golinskii and S. Naboko for useful discussions on the subject of the article. B. Touré gratefully acknowledges the financial support coming from agreements between University of Bordeaux and the Embassy of France in Mali 2017, 2018.
Received: 12.12.2018
Revised: 08.04.2019
Bibliographic databases:
Document Type: Article
MSC: 47B35, 30H20, 42C10.
Language: English
Citation: Z. Bendaoud, S. Kupin, K. Toumache, B. Touré, R. Zarouf, “Toeplitz operators with radial symbols on Bergman space and Schatten-von Neumann classes”, Zh. Mat. Fiz. Anal. Geom., 16:1 (2020), 3–26
Citation in format AMSBIB
\Bibitem{BenKupTou20}
\by Z.~Bendaoud, S.~Kupin, K.~Toumache, B.~Tour\'e, R.~Zarouf
\paper Toeplitz operators with radial symbols on Bergman space and Schatten-von Neumann classes
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2020
\vol 16
\issue 1
\pages 3--26
\mathnet{http://mi.mathnet.ru/jmag744}
\crossref{https://doi.org/10.15407/mag16.01.003}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000521830100001}
\elib{https://elibrary.ru/item.asp?id=42935123}
Linking options:
  • https://www.mathnet.ru/eng/jmag744
  • https://www.mathnet.ru/eng/jmag/v16/i1/p3
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:53
    Full-text PDF :63
    References:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024