Artículo
Mitkovski, M.; Suárez, D.; Wick, B.D. "The Essential Norm of Operators on Apα(Bn)" (2013) Integral Equations and Operator Theory. 75(2):197-233
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Abstract:
In this paper we characterize the compact operators on the weighted Bergman spaces Apα(Bn) when 1 < p < ∞ and α > -1. The main result shows that an operator on Apα(Bn) is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary of the ball. © 2012 Springer Basel.
Registro:
| Documento: | Artículo |
| Título: | The Essential Norm of Operators on Apα(Bn) |
| Autor: | Mitkovski, M.; Suárez, D.; Wick, B.D. |
| Filiación: | Department of Mathematical Sciences, Clemson University, O-110 Martin Hall, Box 340975, Clemson, SC, 29634, United States Depto. de Matemática, FCEyN, University of Buenos Aires, Pab. I, Ciudad Universitaria, 1428 Núñez, Capital Federal, Argentina School of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA, 30332-0160, United States |
| Palabras clave: | Berezin transform; Bergman space; compact operators; essential norm; Toeplitz algebra; Toeplitz operator |
| Año: | 2013 |
| Volumen: | 75 |
| Número: | 2 |
| Página de inicio: | 197 |
| Página de fin: | 233 |
| DOI: | http://dx.doi.org/10.1007/s00020-012-2025-1 |
| Título revista: | Integral Equations and Operator Theory |
| Título revista abreviado: | Integr. Equ. Oper. Theory |
| ISSN: | 0378620X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v75_n2_p197_Mitkovski |
Referencias:
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Citas:
---------- APA ----------
Mitkovski, M., Suárez, D. & Wick, B.D. (2013) . The Essential Norm of Operators on Apα(Bn). Integral Equations and Operator Theory, 75(2), 197-233.http://dx.doi.org/10.1007/s00020-012-2025-1
---------- CHICAGO ----------
Mitkovski, M., Suárez, D., Wick, B.D. "The Essential Norm of Operators on Apα(Bn)" . Integral Equations and Operator Theory 75, no. 2 (2013) : 197-233.http://dx.doi.org/10.1007/s00020-012-2025-1
---------- MLA ----------
Mitkovski, M., Suárez, D., Wick, B.D. "The Essential Norm of Operators on Apα(Bn)" . Integral Equations and Operator Theory, vol. 75, no. 2, 2013, pp. 197-233.http://dx.doi.org/10.1007/s00020-012-2025-1
---------- VANCOUVER ----------
Mitkovski, M., Suárez, D., Wick, B.D. The Essential Norm of Operators on Apα(Bn). Integr. Equ. Oper. Theory. 2013;75(2):197-233.http://dx.doi.org/10.1007/s00020-012-2025-1
