Year: 2017
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 3 : pp. 240–252
Abstract
Let $T_{1}$ be a singular integral with non-smooth kernel or $\pm I$, let $T_{2}$ and $T_{4}$ be the linear operators and let $T_{3}=\pm I$. Denote the Toeplitz type operator by$$T^b=T_{1}M^bI_\alpha T_{2}+T_{3}I_\alpha M^b T_{4},$$where $M^bf=bf,$ and $I_\alpha$ is the fractional integral operator. In this paper, we investigate the boundedness of the operator $T^b$ on the weighted Morrey space when $b$ belongs to the weighted BMO space.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2017.v33.n3.5
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 3 : pp. 240–252
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Toeplitz operator non-smooth kernel weighted BMO fractional integral weighted Morrey space.