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...
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...
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...
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...
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...
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∈ ...
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...
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...
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...
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, ...