Geodesic
Endpoint Regularity of Multisublinear Fractional Maximal Functions
Canadian mathematical bulletin, Tome 60 (2017) no. 3, pp. 586-603

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DOI

In this paper we investigate the endpoint regularity properties of the multisublinear fractional maximal operators, which include the multisublinear Hardy–Littlewood maximal operator. We obtain some new bounds for the derivative of the one-dimensional multisublinear fractional maximal operators acting on the vector-valued function $\overrightarrow{f}=({{f}_{1}},...,{{f}_{m}})$ with all ${{f}_{j}}$ being $BV$ -functions.
DOI : 10.4153/CMB-2016-044-9
Mots-clés : 42B25, 46E35, multisublinear fractional maximal operators, Sobolev spaces, bounded variation 
Liu, Feng; Wu, Huoxiong. Endpoint Regularity of Multisublinear Fractional Maximal Functions. Canadian mathematical bulletin, Tome 60 (2017) no. 3, pp. 586-603. doi: 10.4153/CMB-2016-044-9
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     author = {Liu, Feng and Wu, Huoxiong},
     title = {Endpoint {Regularity} of {Multisublinear} {Fractional} {Maximal} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {586--603},
     year = {2017},
     volume = {60},
     number = {3},
     doi = {10.4153/CMB-2016-044-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-044-9/}
}
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