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Carleson measure and Volterra type operators on weighted BMOA spaces

  • Ruishen Qian and Songxiao Li EMAIL logo

Abstract

Let μ be a nonnegative Borel measure on the unit disk 𝔻. In this paper, we investigate measures μ such that the weighted BMOA spaces are embedded boundedly or compactly into tent-type spaces 𝒯φ(μ). As an application, we characterize the boundedness and compactness of Volterra integral operators on the weighted BMOA space.

MSC 2010: 30H35; 30L99; 47B38

Award Identifier / Grant number: 11471143

Award Identifier / Grant number: 11720101003

Funding statement: This project was partially supported by NSF of China (No. 11471143 and No. 11720101003) and grant of Lingnan normal University (No. 1170917016) and the Key Subject Program of Lingnan Normal University (No.1171518004).

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Received: 2016-01-29
Revised: 2016-05-05
Accepted: 2016-05-16
Published Online: 2018-06-16
Published in Print: 2020-09-01

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