Abstract
Let $ p \ge 1 $ and $ a_1, \dots , a_n $ be positive given numbers. We prove that, the family of all solids of $ {\mathcal R}^n $ of the type $\sum_{i=1}^n \left( \frac{|{x_i}| }{ r^{a_i}} \right)^p < 1 $, $ r > 0 $ satisfies the Besicovitch covering lemma if and only if $ p \ge \frac{\max a_i }{\min a_i } $.
Citation
Hugo Aimar. Liliana Forzani. "On the Besicovitch Property for Parabolic Balls." Real Anal. Exchange 27 (1) 261 - 268, 2001/2002.
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