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arXiv · 1505.00195

On $A_p$-$A_\infty$ type estimates for square functions

Michael T. Lacey·Kangwei Li
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Abstract

We prove strong-type $A_p$-$A_\infty$ estimate for square functions, improving on the $ A_p$ bound due to Lerner. Entropy bounds, in the recent innovation of Treil-Volberg, are then proved. The techniques of proof include parallel stopping cubes, pigeon-hole arguments, and the approach to entropy bounds of Lacey--Spencer.

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Michael T. Lacey, Kangwei Li. 2016-04-14. On $A_p$-$A_\infty$ type estimates for square functions. https://doi.org/10.1007/s00209-016-1696-8

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