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arXiv · 1710.00933

A lower bound for $A_p$ exponents for some weighted weak-type inequalities

Carlos Pérez·Israel P. Rivera-Ríos
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Abstract

We give a weak-type counterpart of the main result in an earlier work of the first author, E. Rela and T. Luque which allows to provide a lower bound for the exponent of the $A_{p}$ constant in terms of the behaviour of the unweighted inequalities when $p\rightarrow\infty$ and when $p\rightarrow1^{+}$. We also provide some applications to classical operators.

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Carlos Pérez, Israel P. Rivera-Ríos. 2017-10-02. A lower bound for $A_p$ exponents for some weighted weak-type inequalities. https://doi.org/10.1007/s41478-018-0137-y

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