Maximal functions: Homogeneous curves.
Let t --> gamma(t) be a homogeneous curve in R(n). For suitable f, define [unk](f)(x) = sup(h > 0)|(1/h) [unk](0) (h)f(x - gamma(t)) dt|. Then parallel[unk](f) parallel(p) </= A(p) parallelf parallel(p), 1 < p </= infinity.
Stein
E M
EM
Department of Mathematics, Princeton University, Princeton, New Jersey 08540.