在L^p(L^q)空间上的一类极大不等式

Some Maximal Inequalities on L^p(L^q) Spaces

本文把Marcinkiewiez的插值定理推广从L^p(L^q)空间到L^P空间的算子,利用它把Hardy-Littlewood极大定理推广到L^p(L^q)空间。

In this note we extend Marcinkiewicz interpolation theorem to the case of operators from Lp(L9) to LP, and then use it to extend Hardy-Littlewood maximal theorem to Lp(Lq) spaces.