HERZ

作品数:119被引量:279H指数:8
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New Characterization of Morrey–Herz Spaces and Morrey–Herz–Hardy Spaces with Applications to Various Linear Operators
《Acta Mathematica Sinica,English Series》2025年第1期327-354,共28页Kwok Pun Ho Yoshihiro Sawano 
supported by Japan Society for the Promotion of Science(Grant No.23K03156)。
This paper is an offspring of the previous study on Herz spaces.A new characterization of Morrey–Herz spaces is given.As applications,the boundedness of various operators is obtained.For example,higher-order commutat...
关键词:Herz spaces WEIGHTS Hardy spaces 
Remark on Mild Solution to the 3D Incompressible Micropolar System in Fourier–Herz Framework
《Acta Mathematica Sinica,English Series》2019年第10期1595-1616,共22页Yao NIE Xiao Xin ZHENG 
supported by the National Natural Science Foundation of China(Grant Nos.11501020,11871087 and 11771423)
This paper is devoted to investigating the existence and uniqueness of mild solution to the 3D incompressible micropolar fluid system in the Fourier–Herz framework. By taking advantage of microlocal analysis and the ...
关键词:ILL-POSEDNESS MICROPOLAR SYSTEM Fourier-Herz space norm inflation 
Two Operators Related to Marcinkiewicz Integrals被引量:1
《Acta Mathematica Sinica,English Series》2009年第10期1617-1634,共18页Hui Xia MO Shan Zhen LU 
Supported by the NNSF of China (Grant No.10871024);SEDF of China (Grant No.20040027001)
In this paper, the authors consider the boundedness of generalized higher commutator of Marcinkiewicz integral μΩ^b, multilinear Marcinkiewicz integral μΩ^A and its variation μΩ^A on Herz-type Hardy spaces, here...
关键词:generalized higher commutator of Marcinkiewicz integral multilinear Marcinkiewicz integral Herz-type Hardy space Lipschitz space 
New Hardy Spaces Associated with Some Anisotropic Herz Spaces and Their Applications被引量:2
《Acta Mathematica Sinica,English Series》2008年第9期1449-1470,共22页Yong Ding  Sen Hua Lan Shan Zhen Lu 
NSF of China (Grant Nos.10571014 and 10571015);SRFDP of China (Grant No.20050027025)
In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on ℝ n are introduced, and the central atomic and molecular decomposition characterizations of tho...
关键词:anisotropic Hardy space anisotropic Herz-type Hardy space central atom central molecule δ -Calderón-Zygmund operator 
H■rmander's Multipliers for the Weighted Herz-type Hardy Spaces
《Acta Mathematica Sinica,English Series》2006年第5期1509-1518,共10页Ming Yi LEE Chin Cheng LIN Yu Tien LIN 
Research is supported in part by National Science Council in Taipei
In this article, we apply the molecular characterization of the weighted Hardy space developed by the first two authors to show the boundedness of Hormander multiplier on the weighted Herz-type Hardy spaces HK^α,p 2...
关键词:Ap weights Herz-type Hardy spaces Hormander's multipliers Weighted Hardy spaces 
Continuity for Maximal Multilinear Bochner-Riesz Operators on Hardy and Herz Hardy Spaces被引量:8
《Acta Mathematica Sinica,English Series》2006年第1期69-76,共8页Lan Zhe LIU Shan Zhen LU 
Let Baδ^A. be the maxiamal multilinear Bochner-Riesz operators generated by Bochner Riesz operators and D^αA∈ Lipβ(|α|= m), The continuity of the operator on some Hardy and Herz type Hardy is obtained.
关键词:Bochner-Riesz operator Multilinear Operators Hardy Space Herz Space Lipschitz space 
Some Estimates for Convolution Operators with Kernels of Type (l, r) on Homogeneous Groups
《Acta Mathematica Sinica,English Series》2005年第3期577-584,共8页Yin Sheng JIANG Ming Ju LIU Lin TANG 
Project 10261007 supported by NSFC.;supported by SF of Xinjiang University
Some estimates for the convolution operators with kernels of type (l, r) on Lebesgue spaces with power weights and Herz-type spaces in the setting of homogeneous groups are established.
关键词:Kernels of type (l r) Homogeneous group Power weight Herz-type space 
Bilinear Operators on Herz-type Hardy Spaces on Locally Compact Vilenkin Groups被引量:1
《Acta Mathematica Sinica,English Series》2005年第3期599-612,共14页Can Qin TANG Qing Guo LI Bo Lin MA 
Supported by NSF, Grant No. 10371004
Let G be a locally compact Vilenkin group. In this paper the authors study the boundedness of bilinear operators B(f, g) given by finite sums of products of Calderdn-Zygmund operators in Herz space and Herz-type Har...
关键词:Bilinear operator Herz-type Hardy space Vilenkin Group 
Herz-type Triebel-Lizorkin Spaces, I被引量:4
《Acta Mathematica Sinica,English Series》2005年第3期643-654,共12页Jing Shi XU Da Chun YANG 
The first author is partially supported by NNSF (No. 60474070) NSF of Hunan, China (01JJY3003);the second (corresponding) author is partially supported by RFDP (No. 20020027004) and NNSF (No. 10271015)of China
Let s ∈R,0〈β≤∞, 0〈 q, p〈 ∞ and-n/q〈α. In this paper the authors introduce the Herz-type Triebel-Lizorkin spaces,Kq^α,pFβ^s(R^n)andKq^α,pFβ^s(R^n)which are the generalizations of the well-known Herz-...
关键词:Herz space Triebel-Lizorkin space Maximal function EMBEDDING MULTIPLIER Lifting property 
Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases被引量:1
《Acta Mathematica Sinica,English Series》2005年第1期81-94,共14页QiangWU DaChunYANG 
This project is supported by the RFDP(No.20020027004);NNSF(No.10271015)of China
In this paper, two classes of closely related multilinear singular andfractional integrals, which include the commutators as special cases, are studied and theirboundedness on Herz type spaces is discussed. In fact, i...
关键词:Multilinear operator Singular integral Fractional integral Herz space Hardy space ATOM CSMO 
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