Oscillation inequalities for rectangles


In this paper we extend previously obtained results on If norm inequalities (1 < p < co) for square functions, oscillation and variation operators, with Z actions, to the case of Zd actions. The technique involves the use of a result about vector valued maximal functions, due to Fefferman and Stein, to reduce the problem to a situation where we can apply our previous results. ©2000 American Mathematical Society.

Publication Title

Proceedings of the American Mathematical Society