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Caracterización de espacios de Orlicz pesados a través de wavelets
(2011-03-14)
This paper presents wavelet characterizations through heavy space Orlicz type standards, such as heavy Orlicz spaces, Orlicz-Sobolev and Hardy-Orlicz. For the study of Orlicz spaces and Orlicz-Sobolev weight used various ...
Weighted mixed weak-type inequalities for multilinear operators
(Polish Academy of Sciences. Institute of Mathematics, 2018-05)
In this paper we present a theorem that generalizes Sawyer’s classic result about mixed weighted inequalities to the multilinear context. Let ~w = (w1, ..., wm) and ν = w 1 m 1 ...w 1 mm , the main result of the paper ...
Mixed weak estimates of Sawyer type for commutators of generalized singular integrals and related operators
(Michigan Mathematical Journal, 2019-09)
We study mixed weak type inequalities for the commutator [b,T], where b is a BMO function and T is a Calderón-Zygmund operator. Our technique involves the classical Calderón–Zygmund decomposition, which allows us to give ...
Acotación de operadores integrales, dados por un núcleo a valores vectoriales que satisface una condición de tipo Hörmander y aplicaciones
(2015)
El principio de Calderón-Zygmund “asegura” que toda integral singular está acotada en normas Lp(w), con w un cierto peso, por un operador maximal apropiado. Para integrales singulares de Calderón-Zygmund (con núcleo ...
Multilinear Cesàro maximal operators
(Elsevier Inc, 2012-07)
The study of the almost everywhere convergence of the product of m Cesàro-α averages leads to the characterization of the boundedness of the associated multi(sub)linear maximal operator. We characterize weighted weak type ...
Weighted inequalities related to a Muckenhoupt and Wheeden problem for one-side singular integrals
(Element, 2015-07)
In this paper we obtain for $T^+$, a one-sided singular integral given by a Calder´on-Zygmund kernel with support in $(-infty,0)$, a $L^p(w)$ bound when $win A_1^+$. A. K. Lerner, S. Ombrosi, and C. Pérez in ``$A_{1}$ ...
Sharp $$A_{1}$$A1 Weighted Estimates for Vector-Valued Operators
(Springer, 2020-03-06)
Given 1 ≤ q < p < ∞, quantitative weighted L p estimates, in terms of Aq weights, for vector-valued maximal functions, Calderón–Zygmund operators, commutators, and maximal rough singular integrals are obtained. The results ...
Quantitative weighted mixed weak-type inequalities for classical operators
(Indiana University Mathematics Journal, 2016-03)
We improve on several mixed weak type inequalities both for the Hardy-Littlewoodmaximal function and for Calderón-Zygmund operators. These type of inequalitieswere considered by Muckenhoupt and Wheeden and later on by ...