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arXiv · 1211.4219

Weighted Weak Type Estimates for Square Functions

Michael T Lacey·James Scurry
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Abstract

We consider the weak-type inequality for Littlewood-Paley square functions on A_p weighted Lebesgue spaces. Of interest is the sharp in the A_p characteristic estimate. The case of 1<p<2 is subcritical, and the sharp power of 1/p is established. In the critical case of p=2, we miss the critical exponent 1/2 by a logarithm of the A_p characteristic. These estimates improve on known estimates for 1<p<3.

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Michael T Lacey, James Scurry. 2012-11-18. Weighted Weak Type Estimates for Square Functions. https://arxiv.org/abs/1211.4219

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