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A remark on fractional type multiple weight classes and its application

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Some new properties of the multiple fractional type $$A_{\mathbf {P},q}$$AP,q weight classes were shown in this paper. With the new properties we give the positive answer for the questions posted… Click to show full abstract

Some new properties of the multiple fractional type $$A_{\mathbf {P},q}$$AP,q weight classes were shown in this paper. With the new properties we give the positive answer for the questions posted in Chen–Xue’s paper. Moreover, we establish the weighted boundedness for the multilinear fractional integral with rough kernels. The weighted boundedness of their generalized commutator is also given.

Keywords: type multiple; fractional type; weight classes; remark fractional

Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2018

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