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

Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm

Let A = (an;k)n;k1 and B = (bn;k)n;k1 be two non-negative ma-trices. Denote by Lv;p;q;B(A), the supremum of those L, satisfying the followinginequality:k Ax kv;B(q) L k x kv;B(p);where x 0 and x 2 lp(v;B) and also v = (vn)1n=1 is an increasing, non-negativesequence of real numbers. In this paper, we obtain a Hardy-type formula forLv;p;q;B(H), where H is the Hausdor matrix and 0 < q p 1. Also...

Weighted Estimates for Singular Integral Operators Satisfying Hörmander’s conditions of Young Type

M. Lorente, ∗ Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain e-mail: [email protected] M. S. Riveros,† FaMAF Universidad Nacional de Córdoba CIEM (CONICET). (5000) Córdoba, Argentina e-mail: [email protected] A. de la Torre ‡ Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain ...

Weighted norm inequalities for singular integral operators

Bellman Functions and Two Weight Inequalities for Haar Multipliers

We are going to give necessary and suucient conditions for two weight norm inequalities for Haar multipliers operators and for square functions. We also give suucient conditions for two weight norm inequalities for the Hilbert transform. 0. Introduction Weighted norm inequalities for singular integral operators appear naturally in many areas of analysis, probability, operator theory ect. The on...

Weighted norm inequalities for multilinear Calderón-Zygmund operators in generalized Morrey spaces

In this paper, the authors study the boundedness of multilinear Calderón-Zygmund singular integral operators and their commutators in generalized Morrey spaces.