Les fonctions maximales de Hardy–Littlewood pour des mesures sur les variétés cuspidales

AbstractIn this paper we study the centered and non-centered Hardy–Littlewood maximal functions, M and M∗, for a wide class of non-doubling measure μ defined on cusped manifolds. In particular, we give a class of manifolds with exponential volume growth on which M is of weak type (1,1) and M∗ is bounded on Lp for all p>1