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

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.

accepted in Math. Nachr

Cited by in corpus (1)

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