# Weighted vector-valued estimates for a non-standard Calder\'on-Zygmund operator

@article{Hu2016WeightedVE,
title={Weighted vector-valued estimates for a non-standard Calder\'on-Zygmund operator},
author={G. Hu},
journal={arXiv: Classical Analysis and ODEs},
year={2016}
}
• G. Hu
• Published 2016
• Mathematics
• arXiv: Classical Analysis and ODEs
In this paper, the author considers the weighted vector-valued estimate for the operator defined by $$T_Af(x)={\rm p.\,v.}\int_{\mathbb{R}^n}\frac{\Omega(x-y)}{|x-y|^{n+1}}\big(A(x)-A(y)-\nabla A(y)\big)f(y){\rm d}y,$$ and the corresponding maximal operator $T_A^*$, where $\Omega$ is homogeneous of degree zero, has vanishing moment of order one, $A$ is a function in $\mathbb{R}^n$ such that $\nabla A\in {\rm BMO}(\mathbb{R}^n)$. By a pointwise estimate for $\|\{T_Af_k(x)\}\|_{l^q}$ and the… Expand
9 Citations
WEIGHTED WEAK TYPE ENDPOINT ESTIMATES FOR THE COMPOSITIONS OF CALDERÓN–ZYGMUND OPERATORS
• G. Hu
• Mathematics
• Journal of the Australian Mathematical Society
• 2019
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SHARP BOUNDS FOR GENERAL COMMUTATORS ON WEIGHTED LEBESGUE SPACES
• Mathematics
• 2010
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Improved weighted bounds for rough singular integral operators
• Mathematics
• 2017
In this paper, we improve the known $A_p$ type, $A_1$ type estimates as well as the weighted weak $(1,1)$ estimates for rough operators, including the rough homogeneous singular integrals and theExpand