Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2021; 58(4): 815-828

Online first article June 23, 2021      Printed July 31, 2021

https://doi.org/10.4134/BKMS.b200464

Copyright © The Korean Mathematical Society.

Integral operators from Morrey type spaces to weighted BMOA spaces

Ruishen Qian, Xiangling Zhu

Lingnan Normal University; Zhongshan Institute

Abstract

Under some mild conditions for the weight function $K$, the boundedness, compactness and essential norm of integral operators $T_g$ and $I_g$ from Morrey type spaces $H_K^p$ to weighted BMOA spaces \linebreak $BMOA_{K,\frac{2}{p}}$ are investigated in this paper.

Keywords: Volterra type operator, Morrey type space, weighted BMOA space

MSC numbers: Primary 30H35, 47B38

Supported by: This work was supported by NNSF of China \linebreak (No.11801250) and (No.11871257), Overseas Scholarship Program for Elite Young and Middle-aged Teachers of Lingnan Normal University, Yanling \linebreak Youqing Program of Lingnan Normal University (No.YL20200202), Lingnan Normal University (No.LZ1905), and the Innovation and developing School Project of Guangdong Province (No. 2019KZDXM032).

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