Ezequiel Rela

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math.CA2012

Improving bounds for singular operators via Sharp Reverse Hölder Inequality for $A_{\infty}$

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 $A_{\infty}$ 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 $c$ and $α$ 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 $α, β \in (0, 1]$ , we will say that a set…

Improving bounds for singular operators via Sharp Reverse Hölder Inequality for A∞​

Exponential decay estimates for Singular Integral operators

Furstenberg sets for a fractal set of directions

Improving bounds for singular operators via Sharp Reverse Hölder Inequality for $A_{\infty}$