Add to ORKGWe consider maximal singular integral operators arising from rough kernels satisfying an H1-type condition on the unit (n − 1)-sphere and prove weighted Lp estimates for certain radial weights. We also prove weighted Lp estimates with Ap-weights where in this case the H 1-type condition is replaced by an Lq-type condition with q> 1. Some applications of these results are also obtained regarding singular integrals and Marcinkiewicz integrals. Our results are essential extensions and improvements of some known results. Key words and phrases: Lp boundedness, Hardy space, maximal operators, Fourier transform, rough kernel, Ap weight
Given 1 ≤ q< p< ∞, quantitative weighted Lp estimates, in terms of Aq weights, for vector-valued max...
We prove a quantified sparse bound for the maximal truncations of convolution-type singular integral...
Abstract. The authors give the weighted (Lp,Lq)-boundedness of the rough fractional integral operato...
Weighted norm inequalities are proved for a rough homogeneous singular integral oper-ator and its co...
AbstractWe prove very general weighted norm inequalities for rough maximal and singular integral ope...
The matrix Ap condition extends several results in weighted norm theory to functions taking values i...
The matrix Ap condition extends several results in weighted norm theory to functions taking values i...
In this paper we provide weighted estimates for rough operators, including rough homogeneous singula...
AbstractIn this paper, we study the Lp boundedness of certain maximal operators on product domains w...
We prove a quantified sparse bound for the maximal truncations of convolution-type singular integral...
We consider homogeneous singular kernels, whose angular part is bounded, but need not have any conti...
AbstractThis is the first part of a series of four articles. In this work, we are interested in weig...
We prove a quantified sparse bound for the maximal truncations of convolution-type singular integral...
We prove that the operators in a class of rough fractional integral operators and the related maxima...
In this paper we provide weighted estimates for rough operators, including rough homogeneous singula...
Given 1 ≤ q< p< ∞, quantitative weighted Lp estimates, in terms of Aq weights, for vector-valued max...
We prove a quantified sparse bound for the maximal truncations of convolution-type singular integral...
Abstract. The authors give the weighted (Lp,Lq)-boundedness of the rough fractional integral operato...
Weighted norm inequalities are proved for a rough homogeneous singular integral oper-ator and its co...
AbstractWe prove very general weighted norm inequalities for rough maximal and singular integral ope...
The matrix Ap condition extends several results in weighted norm theory to functions taking values i...
The matrix Ap condition extends several results in weighted norm theory to functions taking values i...
In this paper we provide weighted estimates for rough operators, including rough homogeneous singula...
AbstractIn this paper, we study the Lp boundedness of certain maximal operators on product domains w...
We prove a quantified sparse bound for the maximal truncations of convolution-type singular integral...
We consider homogeneous singular kernels, whose angular part is bounded, but need not have any conti...
AbstractThis is the first part of a series of four articles. In this work, we are interested in weig...
We prove a quantified sparse bound for the maximal truncations of convolution-type singular integral...
We prove that the operators in a class of rough fractional integral operators and the related maxima...
In this paper we provide weighted estimates for rough operators, including rough homogeneous singula...
Given 1 ≤ q< p< ∞, quantitative weighted Lp estimates, in terms of Aq weights, for vector-valued max...
We prove a quantified sparse bound for the maximal truncations of convolution-type singular integral...
Abstract. The authors give the weighted (Lp,Lq)-boundedness of the rough fractional integral operato...