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2015

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/96821

Carleson Measures and Toeplitz operators for weighted Bergman spaces on the unit ball

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Abstract

Some new characterizations on Carleson measures for weighted Bergman spaces on the unit ball involving product of functions are obtained. For these we characterize bounded and compact Toeplitz operators between weighted Bergman spaces. The above results are applied to characterize bounded and compact extended Cesàro operators and pointwise multiplication operators. The results are new even in the case of the unit disk.

Subject

Funcions de diverses variables complexes, Espais analítics, Funcions holomorfes, Teoria d'operadors, Operadors lineals

Subject (English)

Functions of several complex variables, Analytic spaces, Holomorphic functions, Operator theory, Linear operators

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PAU, Jordi and ZHAO, Ruhan. Carleson Measures and Toeplitz operators for weighted Bergman spaces on the unit ball. Michigan Mathematical Journal. 2015. Vol. 64, num. 4, pags. 759-796. ISSN 0026-2285. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/96821

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