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Sharp multi‐weighted bounds for multilinear fractional rough operators and Cohen–Gosselin type commutators

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  • Xiangxing Tao
  • Xiao Yu

Abstract

In the article, we consider the multilinear fraction maximal operators and the multilinear fraction integrals with rough kernels, we introduce a new class for (m+1)‐weights tuple (u,ω⃗), and prove the optimal constant estimates of the sharp multi‐weighted bounds for both operators. We also show the sharp multi‐weighted bounds for the Cohen–Gosselin type multi‐commutator of the both operators.

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  • Xiangxing Tao & Xiao Yu, 2020. "Sharp multi‐weighted bounds for multilinear fractional rough operators and Cohen–Gosselin type commutators," Mathematische Nachrichten, Wiley Blackwell, vol. 293(7), pages 1405-1425, July.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:7:p:1405-1425
    DOI: 10.1002/mana.201800080
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    1. Kangwei Li & Kabe Moen & Wenchang Sun, 2015. "Sharp weighted inequalities for multilinear fractional maximal operators and fractional integrals," Mathematische Nachrichten, Wiley Blackwell, vol. 288(5-6), pages 619-632, April.
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