Hardy-Littlewood Type Gradient Estimates for Quasiminimizers
Bollettino della Unione matematica italiana, Série 9, Tome 3 (2010) no. 1, pp. 125-136
Cet article a éte moissonné depuis 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},
year = {2010},
volume = {Ser. 9, 3},
number = {1},
zbl = {1205.35005},
mrnumber = {2605915},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_1_a4/}
}
TY - JOUR AU - Kinnunen, J. AU - Kotilainen, M. AU - Latvala, V. TI - Hardy-Littlewood Type Gradient Estimates for Quasiminimizers JO - Bollettino della Unione matematica italiana PY - 2010 SP - 125 EP - 136 VL - 3 IS - 1 UR - http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_1_a4/ LA - en ID - BUMI_2010_9_3_1_a4 ER -
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/