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arXiv · 2501.16272

Two-weight estimates for the square function and $t$-Haar multipliers

Daewon Chung·Jean Carlo Moraes·María Cristina Pereyra·Brett Wick
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Abstract

We present necessary and sufficient conditions on triples of weights $(u,v,w)$ for the boundedness of the dyadic weighted square function $S_w$ from $L^2(u)$ into $L^2(v)$. We use this characterization to obtain necessary and sufficient conditions for the boundedness of the $t$-Haar multipliers from $L^2(u)$ into $L^2(v)$ in terms of boundedness of the dyadic weighted square function.

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Daewon Chung, Jean Carlo Moraes, María Cristina Pereyra, Brett Wick. 2025-01-27. Two-weight estimates for the square function and $t$-Haar multipliers. https://arxiv.org/abs/2501.16272

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