An inequality on weighted Orlicz spaces for a vector-valued extension of the Hardy-Littlewood maximal operator on S^n and P^n(ℝ)

Abstract

Abstract. Partitions of the sphere S n and of the real projective space P n (R) are constructed and are applied to study inequalities on weighted Orlicz spaces for a vector-valued extension of the Hardy-Littlewood maximal operator for functions with values in an UMD Banach space. (2000): 42B25. Mathematics subject classification