论文标题

部分可观测时空混沌系统的无模型预测

Two weight L^{p} inequalities for fractional vector Riesz transforms and doubling measures

论文作者

Sawyer, Eric T., Wick, Brett D.

论文摘要

如果t是一个分数矢量riesz变换,则1 <p <iftienth,而Sigma和Omega是两倍的措施,那么当且仅当Hytönen和Vuorinen持有的二次三重测试条件时,两个重量l^{p}标准不等式才能保持。我们还表明,这些二次三重测试条件可以放松到二次局部测试条件,二次偏移量和二次较弱的界限属性。

If T is a fractional vector Riesz transform, 1<p<infinity, and sigma and omega are doubling measures, then the two weight L^{p} norm inequality holds if and only if the quadratic triple testing conditions of Hytönen and Vuorinen hold. We also show that these quadratic triple testing conditions can be relaxed to quadratic local testing conditions, quadratic offset Muckenhoupt conditions, and a quadratic weak boundedness property.

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