MORREY

作品数:129被引量:181H指数:7
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Sharp Morrey Regularity for an Even Order Elliptic System
《Acta Mathematica Sinica,English Series》2025年第3期925-937,共13页Changyu Guo Wenjuan Qi 
Supported by the Young Scientist Program of the Ministry of Science and Technology of China(Grant No.2021Y-FA1002200);the National Natural Science Foundation of China(Grant No.12101362);the Tai-Shan Scholar Program and the Natural Science Foundation of Shandong Province(Grant Nos.ZR2022YQ01,ZR2021QA003)。
In this short note,we establish a sharp Morrey regularity theory for an even order elliptic system of Rivière type:△^(m)u=∑_(t=0)^(m-1)△^(l)+∑_(t=0)^(m-2)△^(l)δ(ω_(l)du)+f in B^(2m)under minimal regular...
关键词:Even order elliptic system regularity theory Morrey space decay estimates Riesz potential theory 
Embeddings of Generalised Morrey Smoothness Spaces
《Acta Mathematica Sinica,English Series》2025年第1期413-456,共44页Dorothee D.Haroske Zhen Liu Susana D.Moura Leszek Skrzypczak 
partially supported by the German Research Foundation(DFG)(Grant No.Ha 2794/8-1);supported by the China Scholarship Council(CSC)(Grant No.202006350058);partially supported by the Center for Mathematics of the University of Coimbra(funded by the Portuguese Government through FCT/MCTES,DOI 10.54499/UIDB/00324/2020)。
We study embeddings between generalised Triebel–Lizorkin–Morrey spacesε_(ϕ,p,q)^(s)(R^(d))and within the scales of further generalised Morrey smoothness spaces like N_(ϕ,p,q)^(s)(R^(d)),B_(p,q)^(s,ϕ)(R^(d))and F_(p...
关键词:Generalised Morrey spaces generalised Besov-type space generalised Triebel–Lizorkintype space generalised Besov–Morrey space generalised Triebel-Lizorkin-Morrey space EMBEDDINGS wavelet decompositions 
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 
Global Well-posedness of Generalized Magnetohydrodynamics Equations in Variable Exponent Fourier–Besov–Morrey Spaces被引量:1
《Acta Mathematica Sinica,English Series》2022年第12期2187-2198,共12页Muhammad Zainul ABIDIN Jie Cheng CHEN 
The Research was Supported by Zhejiang Normal University Postdoctoral Research fund under(Grant No.ZC304020909);NSF of China(Grant No.10271437)。
A generalized incompressable magnetohydrodynamics system is considered in this paper.Furthermore, results of global well-posednenss are established with the aid of Littlewood–Paley decomposition and Fourier localizat...
关键词:Generalized MHD global well-posedness variable exponent Fourier–Besov–Morrey(FBM)space ANALYTICITY 
New Weighted Norm Inequalities for Certain Classes of Multilinear Operators on Morrey-type Spaces
《Acta Mathematica Sinica,English Series》2021年第6期911-925,共15页Nan ZHAO Jiang ZHOU 
Supported by National Natural Science Foundation of China(Grant No.11661075)。
Applying the new class of multiple weights A^(θ)_(p),we establish some weighted norm inequalities for certain classes of multilinear operators in the Morrey-type spaces.In addition,the new multiple weighted norm ineq...
关键词:A^(θ)_(p)weights multilinear operator COMMUTATORS Morrey-type spaces BMOθspaces 
On Characterization of Poisson Integrals of Schr?dinger Operators with Morrey Traces被引量:2
《Acta Mathematica Sinica,English Series》2018年第4期787-800,共14页Liang SONG Xiao Xiao TIAN Li Xin YAN 
supported in part by Guangdong Natural Science Funds for Distinguished Young Scholar(Grant No.2016A030306040);NSF of Guangdong(Grant No.2014A030313417);NNSF of China(Grant Nos.11471338 and 11622113);the third author is supported by the NNSF of China(Grant Nos.11371378 and 11521101);Guangdong Special Support Program
Let L be a Schrodinger operator of the form L = -△ + V acting on L2(Rn) where the nonnegative potential V belongs to the reverse Holder class Bq for some q _〉 n. In this article we will show that a function f∈ ...
关键词:SchrSdinger operators Dirichlet problem Morrey spaces Campanato spaces Poissonsemigroup 
Boundedness of Multilinear Caldern–Zygmund Singular Operators on Morrey–Herz Spaces with Variable Exponents被引量:15
《Acta Mathematica Sinica,English Series》2014年第7期1180-1194,共15页Yan LU Yue Ping ZHU 
Supported by National Natural Science Foundation of China(Grant Nos.11271209 and 11371370);NaturalScience Foundation of Nantong University(Grant No.11ZY002)
In this paper, we introduce Morrey-Herz spaces MKq.p(·)α(·),λ with variable exponents α(·) and p(·), and prove the boundedness of multilinear Calderdn-Zygmund singular operators on the product of these...
关键词:Morrey-Herz spaces variable exponents multilinear Calder6n-Zygmund singular operators 
Boundedness for a Class of Generalized Commutators on λ-Central Morrey Space被引量:4
《Acta Mathematica Sinica,English Series》2013年第10期1917-1926,共10页Xiao YU Xiang Xing TAO 
supported by National Natural Science Foundation of China(Grant Nos.11226104 and 11226109);supported by National Natural Science Foundation of China(Grant Nos.11171306 and 11071065);Natural Science Foundation of Jiangxi Province(Grant No.20114BAB211007)
Let 0 〈 a 〈 n, Ω be a rough kernel, and let A have derivatives of order m- 1 in CI3MOTM with m ≥ 2. We consider a class of generalized commutators TΩA,α of Cohen-Gosselin type, and obtain the boundedness of TΩA...
关键词:Generalized commutator central Morrey 'space central-BMO space 
Continuous Embeddings of Besov-Morrey Function Spaces被引量:4
《Acta Mathematica Sinica,English Series》2012年第7期1307-1328,共22页Dorothee D. HAROSKE Leszek SKRZYPCZAK 
supported by Heisenberg grant Ha 2794/1-2
We study embeddings of spaces of Besov-Morrey type, MB p1^s1 q1^r1(R^d)→MB p2^s2 q2^r2(R^d) and obtain necessary and sufficient conditions for this. Moreover, we can also charaeterise the special weighted situat...
关键词:Weighted Besov spaces Besov Morrey spaces continuous embeddings 
CBMO Estimates for Multilinear Hardy Operators被引量:1
《Acta Mathematica Sinica,English Series》2010年第7期1245-1254,共10页Shah Zhen LU Fa You ZHAO 
Supported by National Natural Science Foundation of China (Grant No. 10871024)
The purpose of this paper is to study the multilinear Hardy operators in higher dimensional cases and establish the CBMO estimates for multilinear Hardy operators on some function spaces, such as the Lebesgue spaces, ...
关键词:MULTILINEAR Hardy operator central BMO space Herz space Morrey-Herz space 
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