3 papers
math.CA2012
Improving bounds for singular operators via Sharp Reverse Hölder Inequality for
Carmen Ortiz-Caraballo, Carlos Pérez, Ezequiel Rela
In this expository article we collect and discuss some recent results on different consequences of a Sharp Reverse Hölder Inequality for weights. For two given operato…
math.CA2012
Exponential decay estimates for Singular Integral operators
Carmen Ortiz-Caraballo, Carlos Pérez, Ezequiel Rela
The following subexponential estimate for commutators is proved |[|\{x\in Q: |[b,T]f(x)|>tM^2f(x)\}|\leq c\,e^{-\sqrt{α\, t\|b\|_{BMO}}}\, |Q|, \qquad t>0.\] where and are…
math.CA2010
Furstenberg sets for a fractal set of directions
Ursula Molter, Ezequiel Rela
In this note we study the behavior of the size of Furstenberg sets with respect to the size of the set of directions defining it. For any pair , we will say that a set…