Sharp $L^p$-bounds for the martingale maximal function

Adam Osȩkowski

doi:10.2748/tmj/1520564421

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Home > Journals > Tohoku Math. J. (2) > Volume 70 > Issue 1 > Article

2018 Sharp $L^p$-bounds for the martingale maximal function

Adam Osȩkowski

Tohoku Math. J. (2) 70(1): 121-138 (2018). DOI: 10.2748/tmj/1520564421

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Abstract

The paper studies sharp weighted $L^p$ inequalities for the martingale maximal function. Proofs exploit properties of certain special functions of four variables and self-improving properties of $A_p$ weights.

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Adam Osȩkowski. "Sharp $L^p$-bounds for the martingale maximal function." Tohoku Math. J. (2) 70 (1) 121 - 138, 2018. https://doi.org/10.2748/tmj/1520564421