Abstract
We prove a localization principle for directional maximal operators in Lp(ℝn), with p > 1. The resulting bounds, which we conjecture hold for the largest possible class of directions, imply Lebesguetype differentiation of integrals over tubes that point in the given directions. © PNAS 2013.
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APA
Parcet, J., & Rogers, K. M. (2013). Differentiation of integrals in higher dimensions. Proceedings of the National Academy of Sciences of the United States of America, 110(13), 4941–4944. https://doi.org/10.1073/pnas.1218928110
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