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math.CA2013
Optimal exponents in weighted estimates without examples
Teresa Luque, Carlos Pérez, Ezequiel Rela
We present a general approach for proving the optimality of the exponents on weighted estimates. We show that if an operator satisfies a bound like $$ \|T\|_{L^{p}(w)}\le c\, […
math.CA2013
Refined size estimates for Furstenberg sets via Hausdorff measures: a survey of some recent results
Ezequiel Rela
In this survey we collect and discuss some recent results on the so called "Furstenberg set problem", which in its classical form concerns the estimates of the Hausdorff dimension…
math.CA2013★ 2 cited
A new quantitative two weight theorem for the Hardy-Littlewood maximal operator
Carlos Pérez, Ezequiel Rela
A quantitative two weight theorem for the Hardy-Littlewood maximal operator is proved improving the known ones. As a consequence a new proof of the main results in [HP] and in [HPR…