Weighted Norm Inequalities for Bochner-Riesz Operators and Singular Integral Operators

Weighted norm inequalities for singular integral operators

Weighted Norm Inequalities for Maximally Modulated Singular Integral Operators

We present a framework that yields a variety of weighted and vector-valued estimates for maximally modulated Calderón-Zygmund singular (and maximal singular) integrals from a single a priori weak type unweighted estimate for the maximal modulations of such operators. We discuss two approaches, one based on the good-λ method of Coifman and Fefferman [CF] and an alternative method employing the s...

Improved Bounds for Bochner-riesz and Maximal Bochner-riesz Operators

In this note we improve the known L p-bounds for Bochner-Riesz operators and their maximal operators.

Weighted norm inequalities for singular integral operators satisfying a variant of Hörmander’s condition

In this paper we establish weighted norm inequalities for singular integral operators with kernel satisfying a variant of the classical Hörmander’s condition.

Weighted Norm Inequalities for Fractional Operators

We prove weighted norm inequalities for fractional powers of elliptic operators together with their commutators with BMO functions, encompassing what is known for the classical Riesz potentials and elliptic operators with Gaussian domination by the classical heat operator. The method relies upon a good-λ method that does not use any size or smoothness estimates for the kernels. Indiana Univ. Ma...