Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces

Cauchy Singular Integral Operators in Weighted Spaces of Continuous Functions

We study the Cauchy singular integral operator SwI on (−1, 1), where |w| is a generalized Jacobi weight. This operator is considered in pairs of weighted spaces of continuous functions, where the weights u and v are generalized Jacobi weights with nonnegative exponents such that |w| = u/v. We introduce a certain polynomial approximation space which is well appropriated to serve as domain of def...

Weighted norm inequalities for singular integral operators

Multilinear Singular Integral Operators with Variable Coefficients

Some recent results for bilinear or multilinear singular integrals operators are presented. The focus is on some of the results that can be viewed as natural counterparts of classical theorems in Calderón-Zygmund theory, adding to the already existing extensive literature in the subject. In particular, two different classes of operators that can be seen as bilinear counterparts of linear Calder...

Some Maximal Operators related to Families of Singular Integral Operators∗

In this paper, we shall study Lp−boundedness of two kinds of maximal operators related to some families of singular integrals. 2000 MSC: Primary 42B20, Secondary 42B25, 42B30

Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels

In this paper, the authors establish the sharp maximal estimates for the multilinear iterated commutators generated by [Formula: see text] functions and multilinear singular integral operators with generalized kernels. As applications, the boundedness of this kind of multilinear iterated commutators on the product of weighted Lebesgue spaces and the product of variable exponent Lebesgue spaces ...