Necessary and sufficient conditions are given for generalized Calderón and Hilbert operators to be bounded from weighted Lebesgue spaces into suitable weighted BMO and Lipschitz spaces. Moreover, we have obtained new results ...

We study continuity properties for commutators of Calderón-Zygmund and fractional integral operators between generalized Zygmund spaces of L log L type, in the variable exponent setting with different weights. In order to ...

The Calderón operator S is the sum of the the Hardy averaging operator and its adjoint. The weights w for which S is bounded on L p(w) are the Calderón weights of the class Cp. We prove a characterization of the weights ...

In this work we show that the composition of the integral and derivative operators of order phi, T_phi = D_phi◦I_phi, is a singular integral operator.This result in addition with the results obtained in [HV2] of boundedness ...

In this paper we study integral operators with kernels K(x, y) = k1(x − A1y)...km(x − Amy), ki(x) = Ωi(x) |x|n/qi where Ωi : Rn → R are homogeneous functions of degree zero, satisfying a size and a Dini condition, Ai are ...

We show that Petermichl's dyadic operator P (Petermichl (2000) [8]) is a Calderón–Zygmund-type operator on an adequate metric normal space of homogeneous type. We also compare the maximal operators associated with truncations ...

We characterize the weights for the Stieltjes transform and the Calder´on operator to be bounded on the weighted variable Lebesgue spaces $L_w^{p(cdot)}(0,infty)$, assuming that the exponent function $pp$ is log-H"older ...

The purpose of this work is to present, in a detailed way, one of the main topics of Harmonic Analysis: the singular integral operators or, in its general form, the Calderón-Zygmund operators. We did here, for the most ...

In this paper we prove that the generalized (in the sense of Caffarelli and Calderón) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak type $ (1,1)$. Our results include other ...

In recent years, it has been well understood that a Calderón–Zygmund operator T is pointwise controlled by a finite number of dyadic operators of a very simple structure (called the sparse operators). We obtain a similar ...