Maximal functions, product condition and its eccentricity

• Autores: Morten Nielsen , Hrvoje Šikić
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 63, Fasc. 2, 2012, págs. 195-202
• Idioma: inglés
• DOI: 10.1007/s13348-011-0036-x
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• Resumen

  • We characterize Muckenhoupt A^p weights in the product case on {\mathbb{R}^N} in terms of a graded family of A^p conditions defined by rectangles with a lower bound on eccentricity. The connection to maximal functions and geometric coverings is also studied.

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