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Some maximal inequalities on Triebel–Lizorkin spaces for p = ∞
Author(s) -
Park Bae Jun
Publication year - 2019
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201800040
Subject(s) - mathematics , inequality , maximal function , pure mathematics , mathematical analysis
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.