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Volume 37, Issue 3
The Weighted Morrey Boundedness of Multilinear Singular Integral Operators on RD-Spaces

Siyuan Zhang, Haibo Lin & Yan Lin

DOI: 10.4208/ata.2021.lu80.10

Anal. Theory Appl., 37 (2021), pp. 465-480.

Published online: 2021-09

[An open-access article; the PDF is free to any online user.]

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  • Abstract

An RD-space $\mathcal{X}$ is a space of homogeneous type in the sense of Coifman and Weiss, which is equipped with a measure satisfying an additional reverse doubling property. In this paper we study the boundedness of multilinear singular integral operators in weighted Morrey spaces within the framework of RD-spaces.

  • Keywords

RD-space, multilinear Calderόn-Zygmund operator, multiple weight, weighted Morrey space.

  • AMS Subject Headings

43A85, 47H60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-37-465, author = {Zhang , SiyuanLin , Haibo and Lin , Yan}, title = {The Weighted Morrey Boundedness of Multilinear Singular Integral Operators on RD-Spaces}, journal = {Analysis in Theory and Applications}, year = {2021}, volume = {37}, number = {3}, pages = {465--480}, abstract = {

An RD-space $\mathcal{X}$ is a space of homogeneous type in the sense of Coifman and Weiss, which is equipped with a measure satisfying an additional reverse doubling property. In this paper we study the boundedness of multilinear singular integral operators in weighted Morrey spaces within the framework of RD-spaces.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2021.lu80.10}, url = {http://global-sci.org/intro/article_detail/ata/19883.html} }
TY - JOUR T1 - The Weighted Morrey Boundedness of Multilinear Singular Integral Operators on RD-Spaces AU - Zhang , Siyuan AU - Lin , Haibo AU - Lin , Yan JO - Analysis in Theory and Applications VL - 3 SP - 465 EP - 480 PY - 2021 DA - 2021/09 SN - 37 DO - http://doi.org/10.4208/ata.2021.lu80.10 UR - https://global-sci.org/intro/article_detail/ata/19883.html KW - RD-space, multilinear Calderόn-Zygmund operator, multiple weight, weighted Morrey space. AB -

An RD-space $\mathcal{X}$ is a space of homogeneous type in the sense of Coifman and Weiss, which is equipped with a measure satisfying an additional reverse doubling property. In this paper we study the boundedness of multilinear singular integral operators in weighted Morrey spaces within the framework of RD-spaces.

Zhang , SiyuanLin , Haibo and Lin , Yan. (2021). The Weighted Morrey Boundedness of Multilinear Singular Integral Operators on RD-Spaces. Analysis in Theory and Applications. 37 (3). 465-480. doi:10.4208/ata.2021.lu80.10
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