(m, λ)-Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung › Peer-Review

Autorschaft

  • Wolfram Bauer
  • Crispin Herrera Yañez
  • Nikolai Vasilevski

Externe Organisationen

  • Georg-August-Universität Göttingen
  • Center for Research and Advanced Studies of the National Polytechnic Institute
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Details

OriginalspracheEnglisch
Titel des SammelwerksOperator Theory in Harmonic and Non-commutative Analysis
Seiten45-68
Seitenumfang24
Band240
ISBN (elektronisch)9783319062662
PublikationsstatusVeröffentlicht - 30 Mai 2014
Extern publiziertJa

Publikationsreihe

NameOperator Theory: Advances and Applications
ISSN (Print)0255-0156

Abstract

We establish various results on norm approximations of bounded linear operators acting on the weighted Bergman space A2λ(Bn) over the unit ball by means of Toeplitz operators with bounded measurable symbols. The main tool here is the so-called (m, λ)-Berezin transform defined and studied in the paper. In a sense, this is a further development of the ideas and results of [6, 7, 9] to the case of operators acting on A2λ(Bn).

ASJC Scopus Sachgebiete

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(m, λ)-Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball. / Bauer, Wolfram; Yañez, Crispin Herrera; Vasilevski, Nikolai.
Operator Theory in Harmonic and Non-commutative Analysis. Band 240 2014. S. 45-68 (Operator Theory: Advances and Applications).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung › Peer-Review

Bauer, W, Yañez, CH & Vasilevski, N 2014, (m, λ)-Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball. in Operator Theory in Harmonic and Non-commutative Analysis. Bd. 240, Operator Theory: Advances and Applications, S. 45-68. https://doi.org/10.1007/978-3-319-06266-2_3
Bauer, W., Yañez, C. H., & Vasilevski, N. (2014). (m, λ)-Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball. In Operator Theory in Harmonic and Non-commutative Analysis (Band 240, S. 45-68). (Operator Theory: Advances and Applications). https://doi.org/10.1007/978-3-319-06266-2_3
Bauer W, Yañez CH, Vasilevski N. (m, λ)-Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball. in Operator Theory in Harmonic and Non-commutative Analysis. Band 240. 2014. S. 45-68. (Operator Theory: Advances and Applications). doi: 10.1007/978-3-319-06266-2_3
Bauer, Wolfram ; Yañez, Crispin Herrera ; Vasilevski, Nikolai. / (m, λ)-Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball. Operator Theory in Harmonic and Non-commutative Analysis. Band 240 2014. S. 45-68 (Operator Theory: Advances and Applications).
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