Derivative bounds for fractional maximal functions

Carneiro, Emanuel; Madrid, José

doi:10.1090/tran/6844

Derivative bounds for fractional maximal functions
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by Emanuel Carneiro and José Madrid PDF

Trans. Amer. Math. Soc. 369 (2017), 4063-4092 Request permission

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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