Weighted estimates for vector-valued commutators of multilinear operators

2008 ◽  
Vol 138 (04) ◽  
pp. 897-921 ◽  
Author(s):  
Lin Tang
Keyword(s):  
Multilinear Operators ◽  
Weighted Estimates ◽  
Vector Valued

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.

scholarly journals Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Feng Liu ◽  
Fangfang Xu
Keyword(s):  
Function Spaces ◽  
Maximal Functions ◽  
Rough Kernels ◽  
Weighted Estimates ◽  
Polynomial Curves ◽  
Definition Of ◽  
Vector Valued Function ◽  
Vector Valued

In this note we establish certain weighted estimates for a class of maximal functions with rough kernels along “polynomial curves” on Rn. As applications, we obtain the bounds of the above operators on the mixed radial-angular spaces, on the vector-valued mixed radial-angular spaces, and on the vector-valued function spaces. Particularly, the above bounds are independent of the coefficients of the polynomials in the definition of the operators.

scholarly journals Restriction of Fourier transforms to curves: An endpoint estimate with affine arclength measure

2012 ◽  
Vol 2013 (682) ◽  
pp. 167-205
Author(s):  
Jong-Guk Bak ◽  
Daniel M. Oberlin ◽  
Andreas Seeger
Keyword(s):  
Fourier Transforms ◽  
Multilinear Operators ◽  
Strong Type ◽  
Type Estimate ◽  
Essential Ingredient ◽  
Fourier Restriction ◽  
Vector Valued Functions ◽  
Vector Valued ◽  
Affine Arclength ◽  
Interpolation Result

Abstract. Consider the Fourier restriction operators associated to curves in ℝ d , . We prove for various classes of curves the endpoint restricted strong type estimate with respect to affine arclength measure on the curve. An essential ingredient is an interpolation result for multilinear operators with symmetries acting on sequences of vector-valued functions.

scholarly journals Vector-valued operators, optimal weighted estimates and the Cp condition

2020 ◽  
Vol 63 (7) ◽  
pp. 1339-1368 ◽  
Author(s):  
María Eugenia Cejas ◽  
Kangwei Li ◽  
Carlos Pérez ◽  
Israel Pablo Rivera-Ríos
Keyword(s):  
Weighted Estimates ◽  
Vector Valued
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