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math.CA2017
The Variation of the Fractional Maximal Function of a Radial Function
Hannes Luiro, José Madrid
In this paper we study the regularity of the non-centered fractional maximal operator . As the main result, we prove that there exists such that if and $f…
math.CA2017
The variation of the maximal function of a radial function
Hannes Luiro
We study the problem concerning the variation of the Hardy-Littlewood maximal function in higher dimensions. As the main result, we prove that the variation of the non-centered Har…
math.CA2015
Beyond local maximal operators
Hannes Luiro, Antti V. Vähäkangas
We obtain (essentially sharp) boundedness results for certain generalized local maximal operators between fractional weighted Sobolev spaces and their modifications. Concrete bound…