论文标题

产品空间中奇异积分的真正多线性加权估计

Genuinely multilinear weighted estimates for singular integrals in product spaces

论文作者

Li, Kangwei, Martikainen, Henri, Vuorinen, Emil

论文摘要

我们证明了产品空间中奇异积分的真正多线性加权估计值。在这种情况下,估计值完成了定性加权理论。此类估计以前仅在单参数情况下才知道。外推提供了强大的应用程序 - 例如,在整个指数范围内免费访问混合声门估计值。

We prove genuinely multilinear weighted estimates for singular integrals in product spaces. The estimates complete the qualitative weighted theory in this setting. Such estimates were previously known only in the one-parameter situation. Extrapolation gives powerful applications -- for example, a free access to mixed-norm estimates in the full range of exponents.

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