On the boundedness of pseudo-differential operators on Triebel–Lizorkin and Besov spaces

Bae Jun Park

doi:10.1016/j.jmaa.2017.12.065

On the boundedness of pseudo-differential operators on Triebel–Lizorkin and Besov spaces

Bae Jun Park

University of Wisconsin-Madison

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

13 Scopus citations

Abstract

In this work we show endpoint boundedness properties of pseudo-differential operators of type (ρ,ρ), 0<ρ<1, on Triebel–Lizorkin and Besov spaces. Our results are sharp and they also cover operators defined by compound symbols.

Original language	English
Pages (from-to)	544-576
Number of pages	33
Journal	Journal of Mathematical Analysis and Applications
Volume	461
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2017.12.065
State	Published - 1 May 2018
Externally published	Yes

Keywords

Besov space
Function spaces
Pseudo-differential operator
Triebel–Lizorkin space

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10.1016/j.jmaa.2017.12.065

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title = "On the boundedness of pseudo-differential operators on Triebel–Lizorkin and Besov spaces",

abstract = "In this work we show endpoint boundedness properties of pseudo-differential operators of type (ρ,ρ), 0<ρ<1, on Triebel–Lizorkin and Besov spaces. Our results are sharp and they also cover operators defined by compound symbols.",

keywords = "Besov space, Function spaces, Pseudo-differential operator, Triebel–Lizorkin space",

author = "Park, \{Bae Jun\}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2018",

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T1 - On the boundedness of pseudo-differential operators on Triebel–Lizorkin and Besov spaces

AU - Park, Bae Jun

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N2 - In this work we show endpoint boundedness properties of pseudo-differential operators of type (ρ,ρ), 0<ρ<1, on Triebel–Lizorkin and Besov spaces. Our results are sharp and they also cover operators defined by compound symbols.

AB - In this work we show endpoint boundedness properties of pseudo-differential operators of type (ρ,ρ), 0<ρ<1, on Triebel–Lizorkin and Besov spaces. Our results are sharp and they also cover operators defined by compound symbols.

KW - Besov space

KW - Function spaces

KW - Pseudo-differential operator

KW - Triebel–Lizorkin space

UR - https://www.scopus.com/pages/publications/85044576735

U2 - 10.1016/j.jmaa.2017.12.065

DO - 10.1016/j.jmaa.2017.12.065

M3 - Article

AN - SCOPUS:85044576735

SN - 0022-247X

VL - 461

SP - 544

EP - 576

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

On the boundedness of pseudo-differential operators on Triebel–Lizorkin and Besov spaces

Abstract

Keywords

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