scholarly journals On commutators of vector BMO functions and multilinear singular integrals with non-smooth kernels

2010 ◽  
Vol 371 (1) ◽  
pp. 80-94 ◽  
Author(s):  
Bui The Anh ◽  
Xuan Thinh Duong
Keyword(s):  
Singular Integrals ◽  
Bmo Functions ◽  
Smooth Kernels ◽  
Multilinear Singular Integrals

scholarly journals Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Dongxiang Chen ◽  
Dan Zou ◽  
Suzhen Mao
Keyword(s):  
Singular Integrals ◽  
Weighted Norm ◽  
Multilinear Commutator ◽  
Weighted Estimates ◽  
Bmo Functions ◽  
Multilinear Singular Integral Operator ◽  
Smooth Kernels ◽  
New Variant ◽  
Vector Valued ◽  
Multilinear Singular Integrals

This note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear commutator and iterated commutator generated by the vector-valued multilinear operator and BMO functions. By the weighted estimates for a class of new variant maximal and sharp maximal functions, the multiple weighted norm inequalities for such operators are obtained.

Maximal operator for multilinear singular integrals with non-smooth kernels

2009 ◽  
Vol 58 (6) ◽  
pp. 2517-2542 ◽  
Author(s):  
Xuan Thinh Duong ◽  
Ruming Gong ◽  
Loukas Grafakos ◽  
Ji Li ◽  
Lixin Yan
Keyword(s):  
Maximal Operator ◽  
Singular Integrals ◽  
Smooth Kernels ◽  
Multilinear Singular Integrals

scholarly journals On the Multilinear Singular Integrals and Commutators in the Weighted Amalgam Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Feng Liu ◽  
Huoxiong Wu ◽  
Daiqing Zhang
Keyword(s):  
Singular Integral ◽  
Singular Integrals ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Norm Inequalities ◽  
Norm Estimates ◽  
Multilinear Singular Integral ◽  
Bmo Functions ◽  
Amalgam Spaces ◽  
Multilinear Singular Integrals

This paper is concerned with the norm estimates for the multilinear singular integral operators and their commutators formed by BMO functions on the weighted amalgam spacesLvw→q,Lpαℝn. Some criterions of boundedness for such operators inLvw→q,Lpαℝnare given. As applications, the norm inequalities for the multilinear Calderón-Zygmund operators and multilinear singular integrals with nonsmooth kernels as well as the corresponding commutators onLvw→q,Lpαℝnare obtained.

scholarly journals On multilinear singular integrals on $R^{n}$

1982 ◽  
Vol 72 (3) ◽  
pp. 199-223 ◽  
Author(s):  
Jonathan Cohen ◽  
John Gosselin
Keyword(s):  
Singular Integrals ◽  
Multilinear Singular Integrals
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