A note on a two-weight estimate for the dyadic square function
Spyridon Kakaroumpas
TL;DR
This paper demonstrates that the previously established two-weight estimate for the dyadic square function is optimal, confirming its sharpness.
Contribution
It proves the sharpness of the two-weight estimate for the dyadic square function originally established by Lacey and Li.
Findings
The two-weight estimate is sharp.
The result confirms the optimality of previous bounds.
Provides a precise characterization of the estimate's limits.
Abstract
We show that the two-weight estimate for the dyadic square function proved by Lacey--Li in [2] is sharp.
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