Multiple weighted estimates for vector-valued commutators of multilinear square functions

Volume 10, Issue 6, pp 3059--3066 http://dx.doi.org/10.22436/jnsa.010.06.20

Publication Date: June 25, 2017 Submission Date: May 07, 2017

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Authors

Zengyan Si - School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, People’s Republic of China.

Abstract

Let \(T\) be the multilinear square function with a kernel of Dini’s type and \(T_q\) be the vector-valued version of \(T\). In this paper, we obtain the weighted strong type and weighted end-point weak type estimates for the commutators of \(T_q\) respectively if the kernels satisfies L log \(L^l\)-Dini type conditions.

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ISRP Style

Zengyan Si, Multiple weighted estimates for vector-valued commutators of multilinear square functions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 3059--3066

AMA Style

Si Zengyan, Multiple weighted estimates for vector-valued commutators of multilinear square functions. J. Nonlinear Sci. Appl. (2017); 10(6):3059--3066

Chicago/Turabian Style

Si, Zengyan. "Multiple weighted estimates for vector-valued commutators of multilinear square functions." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 3059--3066

Keywords

Multilinear square functions
vector-valued inequality
weights.

MSC

42B25
47G10

References

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