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Algebra i Analiz, 2006, Volume 18, Issue 1, Pages 144–161 (Mi aa63)  
This article is cited in 8 scientific papers (total in 8 papers)

Research Papers

Products of Toeplitz operators on the Bergman spaces $A_\alpha^2$

S. Potta, E. Strouseb

a Department of Mathematics, University of Glasgow, Glasgow, UK
b Departement de Mathematiques Pures, Université Bordeaux I, Talence, France
Full-text PDF (194 kB) Citations (8)
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Abstract: We give a sufficient and a necessary condition for the product of Toeplitz operators $T^\alpha_fT^\alpha_{\bar g}$, with $f$, $g$ analytic, to be bounded on the weighted Bergman space $L^2_a(\mathbb D,(1-|z|^2)^\alpha dA)$. We also show that the only compact product of weighted Toeplitz operators is the trivial one.
Keywords: weighted Bergman spaces, Toeplitz operators, reproducing kernel thesis.
Received: 03.10.2005
English version:
St. Petersburg Mathematical Journal, 2007, Volume 18, Issue 1, Pages 105–118
DOI: https://doi.org/10.1090/S1061-0022-06-00945-9
Bibliographic databases:
Document Type: Article
MSC: 47B35, 32A36
Language: English
Citation: S. Pott, E. Strouse, “Products of Toeplitz operators on the Bergman spaces $A_\alpha^2$”, Algebra i Analiz, 18:1 (2006), 144–161; St. Petersburg Math. J., 18:1 (2007), 105–118
Citation in format AMSBIB
\Bibitem{PotStr06}
\by S.~Pott, E.~Strouse
\paper Products of Toeplitz operators on the Bergman spaces~$A_\alpha^2$
\jour Algebra i Analiz
\yr 2006
\vol 18
\issue 1
\pages 144--161
\mathnet{http://mi.mathnet.ru/aa63}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2225216}
\zmath{https://zbmath.org/?q=an:1127.47028}
\transl
\jour St. Petersburg Math. J.
\yr 2007
\vol 18
\issue 1
\pages 105--118
\crossref{https://doi.org/10.1090/S1061-0022-06-00945-9}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:496
    Full-text PDF :143
    References:57
    First page:1
     
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