Self-improvement of pointwise Hardy inequality

Eriksson-Bique, Sylvester; Vähäkangas, Antti

doi:10.1090/tran/7826

Self-improvement of pointwise Hardy inequality
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by Sylvester Eriksson-Bique and Antti V. Vähäkangas PDF

Trans. Amer. Math. Soc. 372 (2019), 2235-2250 Request permission

Abstract:

We prove the self-improvement of a pointwise $p$-Hardy inequality. The proof relies on maximal function techniques and a characterization of the inequality by curves.

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