Some maximal inequalities on Triebel-Lizorkin spaces for p=∞
Abstract
In this work we give some maximal inequalities in Triebel-Lizorkin spaces, which are "F∞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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