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Differentiation of integrals in higher dimensions

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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Detalhes bibliográficos
Main Authors: Parcet, Javier, Rogers, Keith M.
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 2013
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC3612610/
https://ncbi.nlm.nih.gov/pubmed/23479658
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1218928110
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