A1 bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden

By Andrei K. Lerner, S. Ombrosi, C. Moreno. 2009

108 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e199cd122aa84bd8c3095d6aa9c6f65f4d4b0967

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

Citations in the corpus

Sharp weighted estimates of the dyadic shifts and $A_2$ conjecture (2010, background): “For other types of results on A1, see [18].”
A pointwise estimate for the local sharp maximal function with applications to singular integrals (2010, methodology): “In a recent paper [19], it was proved that, for any w ∈ A1, ‖Tf‖Lp(w) c(n, T )pp‖w‖A1‖f‖Lp(w) (1 < p <∞).”
SHARP BOUNDS FOR GENERAL COMMUTATORS ON WEIGHTED LEBESGUE SPACES (2010, result): “Recently all the above results have been recovered using different sets of techniques and obtaining linear bounds for the larger class of Haar shift operators [20], [8].”
A pointwise estimate for positive dyadic shifts and some applications (2014, background): “11) can be seen as an analogue of the result in [17] stablishing the endpoint weighted weak-type estimate for Calderón-Zygmund operators (see also [20] for a similar estimate from below and more information on the sharpness of this estimate, known as the weak A1 conjecture).”
Borderline weak‐type estimates for singular integrals and square functions (2015, background): “This matter was also pursued in, for instance, [14, 15].”
On an estimate of Calderón-Zygmund operators by dyadic positive operators (2012, background): “It was proved in [20] that for any w ∈ A1, (2.”
SHARP WEIGHTED BOUNDS FOR FRACTIONAL INTEGRAL OPERATORS (2009, background): “Such results have remained elusive so far. For the best available result see [ 15 ].”
Weighted Norm Inequalities for Rough Singular Integral Operators (2017, methodology): “We follow ideas from [35, 36, 28] combined with the pointwise estimate in Theorem 2.”