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arXiv · 2512.00636

Weak (1,1) bounded operators

Arup Maity
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Abstract

We construct a class of Fourier multipliers whose associated operators are weak (1,1) bounded but fail to be weak (p, p) bounded for any 1 < p \leq \infty. Moreover, we show that this result is sharp.

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Arup Maity. 2025-11-29. Weak (1,1) bounded operators. https://arxiv.org/abs/2512.00636

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