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Toeplitz operators with L1 symbols on Bergman spaces in the unit ball of
-
Agbor Dieudonne
und
Edgar Tchoundja
Veröffentlicht/Copyright:
27. Juni 2010
Abstract
This paper contains new results on L1 symbols of bounded (resp. compact) Toeplitz operators on Bergman spaces in the unit disk of the complex plane, ℂ. Our results improve and extend earlier results of N. Zorboska, J. Miao and D. Zheng. We also extend these results to the unit ball of Cn. Part of our study can be done for more general linear operators on Bergman spaces.
Received: 2010-03-25
Published Online: 2010-06-27
Published in Print: 2011-January
© de Gruyter 2010
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Artikel in diesem Heft
- Weighted Lp-solutions on unbounded intervals of nonlinear integral equations of the Hammerstein and Urysohn types
- Harmonic analysis associated with the Cherednik operators and the Heckman–Opdam theory
- Solutions to conjugate Beltrami equations and approximation in generalized Hardy spaces
- Toeplitz operators with L1 symbols on Bergman spaces in the unit ball of
- On the boundedness of pseudo-differential operators associated with the Dunkl transform on the real line
- Equivalences induced by n-self-cotilting comodules
