Work

Carleson measures and Teoplitz operators for weighted Bergman spaces on the unit ball

Year: 2015

Type: article

Abstract: We obtain some new characterizations on Carleson measures for weighted Bergman spaces on the unit ball involving product of functions.For these, we characterize bounded and compact Toeplitz operators between weighted Bergman spaces.The 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.

Source: The Michigan Mathematical Journal

DOI: 10.1307/mmj/1447878031

Authors: Jordi Pau, Ruhan Zhao

Institutions: Universitat de Barcelona, SUNY Brockport

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Generalitat de Catalunya, Ministerio de Economía y Competitividad, Universitat de Barcelona

Awards: G3497542740, G5862994712, G896341941