Oscillation inequalities for rectangles (Q2701627)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation inequalities for rectangles |
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Oscillation inequalities for rectangles (English)
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19 February 2001
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oscillations
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square functions
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upcrossing inequalities
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The authors extend to \(\mathbb{Z}^d\) actions some of their results on the \(L^2\) convergence of square functions. One of the tools used to make this generalization is a result of \textit{C. Fefferman} and \textit{E. M. Stein} [Am. J. Math. 93, 107-115 (1971; Zbl 0222.26019)] where strong type properties of the Hardy Littlewood function on \(L^p\) are extended to \(L^p_{l^r}\) functions (\(1<p<\infty\) and \(1<r<\infty\)).
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