Calderón–Zygmund Operators on Local Hardy Spaces

The Anh Bui; Fu Ken Ly

doi:10.1007/s11118-022-10059-0

Calderón–Zygmund Operators on Local Hardy Spaces

The Anh Bui^*, Fu Ken Ly

^*Corresponding author for this work

School of Mathematical and Physical Sciences

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

5 Citations (Scopus)

Abstract

We give necessary and sufficient conditions for inhomogeneous Calderón–Zgymund operators to be bounded on the local Hardy spaces h^p(ℝⁿ) . We then give applications to local and truncated Riesz transforms, as well as pseudo-differential operators defined by amplitudes.

Original language	English
Pages (from-to)	533-551
Number of pages	19
Journal	Potential Analysis
Volume	60
Issue number	1
DOIs	https://doi.org/10.1007/s11118-022-10059-0
Publication status	Published - Jan 2024

Keywords

Local Hardy spaces
Molecules
Pseudodifferential operators

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10.1007/s11118-022-10059-0

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@article{3cb1533abcb04bde88ebe6519ab1b1aa,

title = "Calder{\'o}n–Zygmund Operators on Local Hardy Spaces",

abstract = "We give necessary and sufficient conditions for inhomogeneous Calder{\'o}n–Zgymund operators to be bounded on the local Hardy spaces hp(ℝn) . We then give applications to local and truncated Riesz transforms, as well as pseudo-differential operators defined by amplitudes.",

keywords = "Local Hardy spaces, Molecules, Pseudodifferential operators",

author = "Bui, \{The Anh\} and Ly, \{Fu Ken\}",

year = "2024",

month = jan,

doi = "10.1007/s11118-022-10059-0",

language = "English",

volume = "60",

pages = "533--551",

journal = "Potential Analysis",

issn = "0926-2601",

publisher = "Springer, Springer Nature",

number = "1",

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T1 - Calderón–Zygmund Operators on Local Hardy Spaces

AU - Bui, The Anh

AU - Ly, Fu Ken

PY - 2024/1

Y1 - 2024/1

N2 - We give necessary and sufficient conditions for inhomogeneous Calderón–Zgymund operators to be bounded on the local Hardy spaces hp(ℝn) . We then give applications to local and truncated Riesz transforms, as well as pseudo-differential operators defined by amplitudes.

AB - We give necessary and sufficient conditions for inhomogeneous Calderón–Zgymund operators to be bounded on the local Hardy spaces hp(ℝn) . We then give applications to local and truncated Riesz transforms, as well as pseudo-differential operators defined by amplitudes.

KW - Local Hardy spaces

KW - Molecules

KW - Pseudodifferential operators

UR - https://www.scopus.com/pages/publications/85144885429

UR - http://purl.org/au-research/grants/arc/DP220100285

U2 - 10.1007/s11118-022-10059-0

DO - 10.1007/s11118-022-10059-0

M3 - Article

AN - SCOPUS:85144885429

SN - 0926-2601

VL - 60

SP - 533

EP - 551

JO - Potential Analysis

JF - Potential Analysis

IS - 1

ER -

Calderón–Zygmund Operators on Local Hardy Spaces

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DP22: Harmonic analysis of Laplacians in curved spaces

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Calderón–Zygmund Operators on Local Hardy Spaces

Abstract

Keywords

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DP22: Harmonic analysis of Laplacians in curved spaces

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