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arXiv · 2003.04782

Some remarks on the maximally modulated Calder\'on-Zygmund operator satisfying $L^r$-H\"ormander condition

Arash Ghorbanalizadeh·Sajjad Hasanvandi
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Abstract

In this work, by recent work of Lerner and Ombrasi (J. Geom. Anal. 30(1): 1011-1027, 2020), we show a maximally modulated singular integral operator which its kernel satisfying $L^r$- H\"ormander condition can be dominated by sparse operators. Also, the local exponential decay estimates for these operators are obtained.

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Arash Ghorbanalizadeh, Sajjad Hasanvandi. 2020-03-10. Some remarks on the maximally modulated Calder\'on-Zygmund operator satisfying $L^r$-H\"ormander condition. https://arxiv.org/abs/2003.04782

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