A Covering Theorem with applications

We prove a Covering Theorem that allows us to prove modified norm inequalities for general maximal operators. We will also give applications to convergence of a sequence of linear operators and the differentiation of the integral.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2002-10, Vol.130 (10), p.2883-2891
Main Author: Neugebauer, C. J.
Format: Article
Language:English
Subjects:
Borel measures
Cubes
Exact sciences and technology
Fourier analysis
Linear transformations
Mathematical analysis
Mathematical functions
Mathematical integrals
Mathematical theorems
Mathematics
Perceptron convergence procedure
Sciences and techniques of general use
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Description
Summary:We prove a Covering Theorem that allows us to prove modified norm inequalities for general maximal operators. We will also give applications to convergence of a sequence of linear operators and the differentiation of the integral.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-02-06719-9