Výsledky vyhledávání - "Caraballo, Carmen"

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Improving bounds for singular operators via Sharp Reverse H\'older Inequality for $A_{\infty}$

Autor: Ortiz-Caraballo, Carmen, Pérez, Carlos, Rela, Ezequiel

In this expository article we collect and discuss some recent results on different consequences of a Sharp Reverse H\"older Inequality for $A_{\infty}$ weights. For two given operators $T$ and $S$, we study $L^p(w)$ bounds of Coifman-Fefferman type.

Externí odkaz: http://arxiv.org/abs/1204.1667

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Exponential decay estimates for Singular Integral operators

Autor: Ortiz-Caraballo, Carmen, Pérez, Carlos, Rela, Ezequiel

The following subexponential estimate for commutators is proved |[|\{x\in Q: |[b,T]f(x)|>tM^2f(x)\}|\leq c\,e^{-\sqrt{\alpha\, t\|b\|_{BMO}}}\, |Q|, \qquad t>0.\] where $c$ and $\alpha$ are absolute constants, $T$ is a Calder\'on--Zygmund operator, $

Externí odkaz: http://arxiv.org/abs/1204.1666

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Quadratic $A_1$ bounds for commutators of singular integrals with BMO functions

Autor: Ortiz-Caraballo, Carmen

For commutators of the form [b,T] where T is any Calderon--Zygmund operator and b is any BMO function we derive weighted quadratic type estimates in term of the A1 constant of the weight both in the Lp context or of LlogL type at the endpoint
Co

Externí odkaz: http://arxiv.org/abs/1104.1069

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