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arXiv · 1710.01400

Some maximal inequalities on Triebel-Lizorkin spaces for $p=\infty$

Bae Jun Park
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Abstract

In this work we give some maximal inequalities in Triebel-Lizorkin spaces, which are "$\dot{F}_{\infty}^{s,q}$-variants" of Fefferman-Stein vector-valued maximal inequality and Peetre's maximal inequality. We will give some applications of the new maximal inequalities and discuss sharpness of some results.

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Bae Jun Park. 2017-10-03. Some maximal inequalities on Triebel-Lizorkin spaces for $p=\infty$. https://arxiv.org/abs/1710.01400

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