Oscillation inequalities for rectangles

Abstract

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.

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Proceedings of the American Mathematical Society

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