Geodesic
Hardy-Littlewood Type Gradient Estimates for Quasiminimizers
Bollettino della Unione matematica italiana, Série 9, Tome 3 (2010) no. 1, pp. 125-136

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We prove Hardy-Littlewood type integral estimates for quasiminimizers in the unit ball of the Euclidean n-space. These extend known results for planar analytic functions to a more general class of functions. Our results can be regarded as weighted Caccioppoli and Poincaré inequalities for quasiminimizers. 
@article{BUMI_2010_9_3_1_a4,
     author = {Kinnunen, J. and Kotilainen, M. and Latvala, V.},
     title = {Hardy-Littlewood {Type} {Gradient} {Estimates} for {Quasiminimizers}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {125--136},
     publisher = {mathdoc},
     volume = {Ser. 9, 3},
     number = {1},
     year = {2010},
     zbl = {1205.35005},
     mrnumber = {2605915},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_1_a4/}
}
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Kinnunen, J.; Kotilainen, M.; Latvala, V. Hardy-Littlewood Type Gradient Estimates for Quasiminimizers. Bollettino della Unione matematica italiana, Série 9, Tome 3 (2010) no. 1, pp. 125-136. http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_1_a4/