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arXiv · 2406.02087

Boundedness of variation, oscillation and maximal differential transform on BMO space

Wenting Hu·Kai Wu·Dongyong Yang·Chao Zhang
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Abstract

In this paper, we prove that the oscillation operator, variation operator and maximal differential transform associated with the approximate identities are bounded from ${\rm BMO}({\mathbb R}^n)$ to its subspace ${\rm BLO}({\mathbb R}^n)$.

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Wenting Hu, Kai Wu, Dongyong Yang, Chao Zhang. 2024-06-04. Boundedness of variation, oscillation and maximal differential transform on BMO space. https://arxiv.org/abs/2406.02087

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