Some weighted inequalities on product domains

Lin, Henry

doi:10.1090/S0002-9947-1990-0970269-1

Some weighted inequalities on product domains
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Trans. Amer. Math. Soc. 318 (1990), 69-85 Request permission

Abstract:

We extend the results of R. Fefferman [3] on the bidisc to higher product domains via induction. As an application, we extend the weighted inequality for Calderon-Zygmund operators on the bidisc to higher product domains, and we also extend the result of the Littlewood-Paley operator corresponding to the arbitrary disjoint rectangles to the weighted case.

References

A Littlewood-Paley inequality for arbitrary intervals

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