# The Maximal Theorems of Hardy and Littlewood

by Keith L. Phillips (University of Washington and California Institute of Technology)

Year of Award: 1968

Publication Information: The American Mathematical Monthly, vol. 74, 1967, pp. 648-660

Summary: The article deals with the maximum values of the Lebesgue integral of a non-negative function over a compact set $$S$$ divided by the the Lebesgue measure of $$S$$.