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Optimal exponents in weighted estimates without examples [Article]
(International Press, 2015)
t. We present a general approach for proving the optimality of the exponents on weighted estimates. We show that if an operator T satisfies a bound like kT kLp(w) ≤ c [w] β Ap w ∈ Ap, then the optimal lower bound ...
A new quantitative two weight theorem for the Hardy-Littlewood maximal operator [Article]
(American Mathematical Society, 2015-02)
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 [HPR12] is obtained which avoids the use of ...