Concepedia

Maximal functions: Spherical means

Elias M. Stein

Proceedings of the National Academy of Sciences · 1976 · 353 citations · 1 references

DOIFull text

Open access

Concepts

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.

References

1

A maximal function associated to the curve ( <i>t, t</i> <sup>2</sup> )

Alexander Nagel, N. M. Rivière, Stephen Wainger · Proceedings of the National Academy of Sciences · 1976 · 24 citations · Full text

, , +4