scholarly journals Weighted estimates for vector-valued multilinear operators with non-smooth kernels

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Zengyan Si
Keyword(s):  
Multilinear Operators ◽  
Weighted Estimates ◽  
Smooth Kernels ◽  
Vector Valued

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.

scholarly journals On the transformation of vector-valued sequences by linear and multilinear operators

2016 ◽  
Vol 183 (3) ◽  
pp. 415-435 ◽  
Author(s):  
Geraldo Botelho ◽  
Jamilson R. Campos
Keyword(s):  
Multilinear Operators ◽  
Vector Valued

scholarly journals Weighted Estimates for Bilinear Operators

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Hua Zhu ◽  
Heping Liu
Keyword(s):  
Schrödinger Operator ◽  
Multilinear Operators ◽  
Schrodinger Operator ◽  
Weighted Estimates ◽  
Bilinear Operators ◽  
By Products

We study the boundedness of weighted multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We also investigate weighted estimates for bilinear operators related to Schrödinger operator.

scholarly journals Weighted Vector-Valued Inequalities for a Class of Multilinear Singular Integral Operators

2018 ◽  
Vol 61 (2) ◽  
pp. 413-436 ◽  
Author(s):  
Guoen Hu ◽  
Kangwei Li
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Maximal Operators ◽  
Weighted Estimates ◽  
Multilinear Singular Integral ◽  
Multiple Weights ◽  
Vector Valued

AbstractIn this paper, some weighted vector-valued inequalities with multiple weights $A_{\vec P}$ (ℝmn)are established for a class of multilinear singular integral operators. The weighted estimates for the multi(sub)linear maximal operators which control the multilinear singular integral operators are also considered.

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