Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group

Guorong Hu; Ji Li

doi:10.1016/j.jmaa.2017.11.054

Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group

Guorong Hu
, Ji Li^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We prove that the classical one-parameter convolution singular integrals on the Heisenberg group are bounded on multiparameter flag Hardy spaces, which satisfy the ‘intermediate’ dilation between the one-parameter anisotropic dilation and the product dilation on Cⁿ×R implicitly.

Original language	English
Pages (from-to)	618-633
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	460
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2017.11.054
Publication status	Published - 15 Apr 2018

Keywords

Discrete Littlewood–Paley analysis
Flag Hardy spaces
Heisenberg group
Singular integrals

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10.1016/j.jmaa.2017.11.054

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@article{9773588c249044448172441ea59f29c2,

title = "Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group",

abstract = "We prove that the classical one-parameter convolution singular integrals on the Heisenberg group are bounded on multiparameter flag Hardy spaces, which satisfy the {\textquoteleft}intermediate{\textquoteright} dilation between the one-parameter anisotropic dilation and the product dilation on Cn×R implicitly.",

keywords = "Discrete Littlewood–Paley analysis, Flag Hardy spaces, Heisenberg group, Singular integrals",

author = "Guorong Hu and Ji Li",

year = "2018",

month = apr,

day = "15",

doi = "10.1016/j.jmaa.2017.11.054",

language = "English",

volume = "460",

pages = "618--633",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

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TY - JOUR

T1 - Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group

AU - Hu, Guorong

AU - Li, Ji

PY - 2018/4/15

Y1 - 2018/4/15

N2 - We prove that the classical one-parameter convolution singular integrals on the Heisenberg group are bounded on multiparameter flag Hardy spaces, which satisfy the ‘intermediate’ dilation between the one-parameter anisotropic dilation and the product dilation on Cn×R implicitly.

AB - We prove that the classical one-parameter convolution singular integrals on the Heisenberg group are bounded on multiparameter flag Hardy spaces, which satisfy the ‘intermediate’ dilation between the one-parameter anisotropic dilation and the product dilation on Cn×R implicitly.

KW - Discrete Littlewood–Paley analysis

KW - Flag Hardy spaces

KW - Heisenberg group

KW - Singular integrals

UR - https://www.scopus.com/pages/publications/85039077625

UR - http://purl.org/au-research/grants/arc/DP160100153

U2 - 10.1016/j.jmaa.2017.11.054

DO - 10.1016/j.jmaa.2017.11.054

M3 - Article

AN - SCOPUS:85039077625

SN - 0022-247X

VL - 460

SP - 618

EP - 633

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group

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Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals

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Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group

Abstract

Keywords

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Projects

Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals

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