Toeplitz operators on Bergman spaces induced by doubling weights on the unit ball of ℂⁿ

2019/09/21 by Du, Juntao, Li, Songxiao
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1909.09833

Abstract

The boundedness and compactness of Toeplitz operator from A_ω^p to A_ω^q with doubling weights ω are studied in this paper. The characterizations of Schatten class Toeplitz operators and Volterra operators on A_ω² are also investigated.

Related

• The essential norm of Toeplitz operators between Bergman spaces induced by doubling weights
• Toeplitz operators on weighted Bergman spaces induced by a class of radial weights
• Schatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weights
• Toeplitz operators and Carleson measure between weighted Bergman spaces induced by regular weights
• Toeplitz operators on the unit ball with locally integrable symbols