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

Bae Jun Park

doi:10.1002/mana.201800040

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

Bae Jun Park

Korea Institute for Advanced Study

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	1137-1150
Number of pages	14
Journal	Mathematische Nachrichten
Volume	292
Issue number	5
DOIs	https://doi.org/10.1002/mana.201800040
State	Published - May 2019
Externally published	Yes

Keywords

42B24
42B35
function spaces
maximal inequality
Triebel–Lizorkin spaces

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10.1002/mana.201800040

Cite this

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title = "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.",

keywords = "42B24, 42B35, function spaces, maximal inequality, Triebel–Lizorkin spaces",

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year = "2019",

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AB - 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.

KW - 42B24

KW - 42B35

KW - function spaces

KW - maximal inequality

KW - Triebel–Lizorkin spaces

UR - https://www.scopus.com/pages/publications/85058420297

U2 - 10.1002/mana.201800040

DO - 10.1002/mana.201800040

M3 - Article

AN - SCOPUS:85058420297

SN - 0025-584X

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EP - 1150

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 5

ER -

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

Abstract

Keywords

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