Open AccessMaximal functions: Homogeneous curves
Author(s) -
Elias M. Stein
Publication year - 1976
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.73.7.2176
Subject(s) - homogeneous , physics , combinatorics , mathematics
Lett → γ(t ) be a homogeneous curve in Rn . For suitablef , define [unk](f )(x ) = suph > 0|(1/h ) [unk]0 h f (x - γ(t ))dt |. Then ∥[unk](f )∥p ≤Ap ∥f ∥p , 1 <p ≤ ∞.