Maximal functions: Poisson integrals on symmetric spaces*
AUTOR(ES)
Stein, Elias M.
RESUMO
Let u be a harmonic function on a symmetric space which is the Poisson integral of a function f in Lp, 1 ≤ p ≤ ∞. Then u converges restrictedly and admissibly to f almost everywhere. This result is proved by obtaining an appropriate maximal theorem which takes into account the structure of the Poisson kernel.
