Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel-Lizorkin spaces

Huang Long; Liu Jun; Yang Dachun; Yuan Wen

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Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel-Lizorkin spaces

机译：各向异性混合常见耐寒空间的鉴定及某些均匀的Triebel-lizorkin空间

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摘要

Let S(R-n) be the Schwartz class on R-n and

机译：让S（R-N）成为R-N和R-N的Schwartz类

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来源
《Journal of Approximation Theory》 |2020年第1期|共27页
作者
Huang Long; Liu Jun; Yang Dachun; Yuan Wen;
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作者单位

Beijing Normal Univ Sch Math Sci Minist Educ China Lab Math &

Complex Syst Beijing 100875 Peoples R China;

China Univ Min &

Technol Sch Math Xuzhou 221116 Jiangsu Peoples R China;

Beijing Normal Univ Sch Math Sci Minist Educ China Lab Math &

Complex Syst Beijing 100875 Peoples R China;

Beijing Normal Univ Sch Math Sci Minist Educ China Lab Math &

Complex Syst Beijing 100875 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学模拟、近似计算;
关键词
Anisotropic (mixed-norm) Hardy space; Anisotropic homogeneous (mixed-norm) Triebel-Lizorkin space; Atom; Littlewood-Paley function; Fourier multiplier; Pseudo-differential operator;

机译：各向异性（混合标准）耐凝块空间;各向异性均匀（混合标准）Triebel-Lizorkin空间;原子;小屋 - Paley功能;傅里叶倍增器;伪差分运算符;

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专利

1. Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel-Lizorkin spaces [J] . Huang Long, Liu Jun, Yang Dachun, Journal of Approximation Theory . 2020,第1期

机译：各向异性混合常见耐寒空间的鉴定及某些均匀的Triebel-lizorkin空间
2. Fourier transform of anisotropic mixed-norm Hardy spaces [J] . Long HUANG, Der-Chen CHANG, Dachun YANG Frontiers of mathematics in China . 2021,第1期

机译：各向异性混合常态耐寒空间的傅里叶变换
3. REAL-VARIABLE CHARACTERIZATIONS OF NEW ANISOTROPIC MIXED-NORM HARDY SPACES [J] . Huang Long, Liu Jun, Yang Dachun, Communications on pure and applied analysis . 2020,第6期

机译：新的各向异性混合常态哈迪空间的真实变量特征
4. Boundedness and Invertibility of Multidimensional Integral Operators with Anisotropically Homogeneous Kernels in Weighted Lp–spaces [C] . Miroshnikova Elena International Conference on Mathematical Problems in Engineering and Aerospace Sciences . 2014

机译：多维积分算子在加权LP空间中具有各向异性均质核的多维积分算子可逆性
5. Discrete Littlewood-Paley-Stein theory and Wolff potentials on homogeneous spaces and multi-parameter Hardy spaces [D] . Xiao, Yayuan. 2013

机译：离散的Littlewood-Paley-Stein理论和均匀空间和多参数耐寒空间的Wolff潜力
6. Anisotropic Hardy Spaces of Musielak-Orlicz Type with Applications to Boundedness of Sublinear Operators [O] . Baode Li, Dachun Yang, Wen Yuan -1

机译：Musielak-Orlicz型各向异性Hardy空间及其在亚线性算子有界性上的应用
7. Wavelet transforms for homogeneous mixed-norm Triebel-Lizorkin spaces [O] . Georgiadis, Athanasios, Johnsen, Jon Erik, Nielsen, Morten 2017

机译：小波变换为均匀混合范数Triebel-Lizorkin空间

Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel-Lizorkin spaces

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