Differentiation of integrals in higher dimensions.
نویسندگان
چکیده
We prove a localization principle for directional maximal operators in L(p)(R(n)), with p > 1. The resulting bounds, which we conjecture hold for the largest possible class of directions, imply Lebesgue-type differentiation of integrals over tubes that point in the given directions.
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عنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 110 13 شماره
صفحات -
تاریخ انتشار 2013