Maximal functions: Homogeneous curves*
AUTOR(ES)
Stein, Elias M.
RESUMO
Let t → γ(t) be a homogeneous curve in Rn. For suitable f, define [unk](f)(x) = suph > 0|(1/h) [unk]0hf(x - γ(t)) dt|. Then ∥[unk](f)∥p ≤ Ap ∥f∥p, 1 < p ≤ ∞.
`
Stein, Elias M.
Let t → γ(t) be a homogeneous curve in Rn. For suitable f, define [unk](f)(x) = suph > 0|(1/h) [unk]0hf(x - γ(t)) dt|. Then ∥[unk](f)∥p ≤ Ap ∥f∥p, 1 < p ≤ ∞.
