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arXiv · 1510.02965

Derivative bounds for fractional maximal functions

Emanuel Carneiro·José Madrid
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Abstract

In this paper we study the regularity properties of fractional maximal operators acting on $BV$-functions. We establish new bounds for the derivative of the fractional maximal function, both in the continuous and in the discrete settings.

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Emanuel Carneiro, José Madrid. 2016-01-18. Derivative bounds for fractional maximal functions. https://doi.org/10.1090/tran%2F6844

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