Buscar
Mostrando ítems 1-9 de 9
Artículo
Potential operators, maximal functions, and generalizations of A∞
(Springer, 2003-08)
We derive weighted norm estimates which relate integral operators of potential type (fractional integrals) to corresponding maximal operators (fractional maximal operators). We also derive norm estimates for the maximal ...
Artículo
Two-weight, weak-type norm inequalities for fractional integrals, Calderón-Zygmund operators and commutators
(Indiana University, 2000)
We give Ap-type conditions which are sufficient for the two-weight, weak-type (p, p) inequalities for fractional integral operators, Calderón-Zygmund operators and commutators. For fractional integral operators, this solves ...
Artículo
Uncertainty principle estimates for vector fields
(Elsevier, 2001-04-01)
We derive weighted norm estimates for integral operators of potential type and for their related maximal operators. These operators are generalizations of the classical fractional integrals and fractional maximal functions. ...
Artículo
Sharp Lp-weighted Sobolev inequalities
(Association des Annales de l'Institut Fourier, 1995)
Artículo
Sharp weighted inequalities for the vector-valued maximal function
(American Mathematical Society, 2000)
We prove in this paper some sharp weighted inequalities for the vector-valued maximal function Mq of Fefferman and Stein defined by Mqf(x) = X∞ i=1 (M fi(x))q !1/q, where M is the Hardy-Littlewood maximal function. As a ...
Artículo
Artículo
Two weight extrapolation via the maximal operator
(Elsevier, 2000-06-20)
We give several extrapolation theorems for pairs of weights of the form (w, Mkw) and (w, (Mw/w)r w), where w is any non-negative function, r>1, and Mk is the kth iterate of the Hardy–Littlewood maximal operator. As an ...
Artículo
Endpoint estimates for commutators of singular integral operators
(Elsevier, 1995-02-15)
We prove endpoint estimates for commutatotrs of singular integrals with BMO functions. We first show that they satisfy L(log L) type inequalities and then that there is a Hardy space type estimate where the usual atomic ...
Artículo
Two-weight, weak-type norm inequalities for singular integral operators
(International Press, 1999)
We give a sufficient condition for singular integral operators and, more generally, Calder´on-Zygmund operators to satisfy the weak (p, p) inequality u({x ∈ R n : |T f(x)| > t}) ≤ C / tp Z Rn |f|p v dx, 1 < p < ∞. Our ...