Geodesic
On the Regularity of the Multisublinear Maximal Functions
Canadian mathematical bulletin, Tome 58 (2015) no. 4, pp. 808-817

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DOI

This paper is concerned with the study of the regularity for the multisublinear maximal operator. It is proved that the multisublinear maximal operator is bounded on first-order Sobolev spaces. Moreover, two key point-wise inequalities for the partial derivatives of the multisublinear maximal functions are established. As an application, the quasi-continuity on the multisublinear maximal function is also obtained.
DOI : 10.4153/CMB-2014-070-7
Mots-clés : 42B25, 46E35, regularity, multisublinear maximal operator, Sobolev spaces, partial derivative, quasicontinuity 
Liu, Feng; Wu, Huoxiong. On the Regularity of the Multisublinear Maximal Functions. Canadian mathematical bulletin, Tome 58 (2015) no. 4, pp. 808-817. doi: 10.4153/CMB-2014-070-7
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     title = {On the {Regularity} of the {Multisublinear} {Maximal} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {808--817},
     year = {2015},
     volume = {58},
     number = {4},
     doi = {10.4153/CMB-2014-070-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-070-7/}
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