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arXiv · 1711.08274

Off-diagonal sharp two-weight estimates for sparse operators

Stephan Fackler·Tuomas P. Hytönen
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Abstract

For a class of sparse operators including majorants of singular integral, square function, and fractional integral operators in a uniform manner, we prove off-diagonal two-weight estimates of mixed type in the two-weight and $A_{\infty}$-characteristics. These bounds are known to be sharp in many cases; as a new result, we prove their sharpness for fractional square functions.

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Stephan Fackler, Tuomas P. Hytönen. 2017-11-22. Off-diagonal sharp two-weight estimates for sparse operators. https://arxiv.org/abs/1711.08274

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