Kinnunen, J. and Kotilainen, M. and Latvala, V.:
Hardy-Littlewood Type Gradient Estimates for Quasiminimizers
Bollettino dell'Unione Matematica Italiana Serie 9 3 (2010), fasc. n.1, p. 125-136, (English)
pdf (272 Kb), djvu (109 Kb). | MR 2605915 | Zbl 1205.35005
Sunto
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.
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