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Some maximal inequalities on Triebel–Lizorkin spaces for p=∞

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  • Bae Jun Park

Abstract

In this work we give some maximal inequalities in Triebel–Lizorkin spaces, which are “Ḟ∞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, 2019. "Some maximal inequalities on Triebel–Lizorkin spaces for p=∞," Mathematische Nachrichten, Wiley Blackwell, vol. 292(5), pages 1137-1150, May.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:5:p:1137-1150
    DOI: 10.1002/mana.201800040
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