Maximal functions: Spherical means

Elias M. SteinDepartment of Mathematics, Princeton University, Princeton, New Jersey 08540

1976en

ABI

Abstract

Let [unk](f)(x) denote the supremum of the averages of f taken over all (surfaces of) spheres centered at x. Then f --> [unk](f) is bounded on L(p)(R(n)), whenever p > n/(n - 1), and n >/= 3.

Identifiers

DOI: 10.1073/pnas.73.7.2174

Citations and references

Cited by 170 references

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