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Supported by the Guangdong Natural Science foundation(2023A1515012044);Special Project of Guangdong Province in Key Fields of Ordinary Colleges and Universities(2023ZDZX4069);the Research Team of Guangzhou Huashang College(2021HSKT01);Guangzhou Huashang College’s Characteristic Research Projects(2024HSTS09)。
In this article,the viscoelastic damped was equation in three-dimensional cylindrical domain were studied by using a second-order differential inequality.We proved a Phragm´en-Lindelof alternative results,i.e.,the sm...
supported by the National Natural Science Foundation of China(Grant No.12101222);National Natural Science Foundation of China(Grant No.12271041);Scientific Research Fund of Hunan Provincial Education Department(Grant No.23B0458);supported by the Scientific Research Fund of Hunan Provincial Education Department(Grant No.22B0155);partly supported by the National Key R&D Program of China(Grant No.2020YFA0712900)。
Let T be a bilinear vector-valued singular integral operator satisfies some mild regularity conditions,which may not fall under the scope of the theory of standard Calder¬on–Zygmund classes.For anyb^(→)=(b_(1),b_(2)...
the Science Foundation for Youths of Gansu Province(Grant No.22JR5RA173);Master Foundation of Northwest Normal University(Grant No.2022KYZZ-S121).
Let(X,d,μ)be a non-homogeneous metric measure space satisfying the geometrically doubling condition and the upper doubling condition.In this setting,the authors prove that the commutator M_(b)^(α)formed by b∈RBMO(...
In this paper,we introduce the weighted multilinear p-adic Hardy operator and weighted multilinear p-adic Ces`aro operator,we also obtain the boundedness of these two operators on the product of p-adic Herz spaces and...
supported by National Natural Science Foundation of China(Grant Nos.12001527,11971058 and 12071197);the Natural Science Foundation of Jiangsu Province(Grant No.BK20200647);the Postdoctoral Science Foundation of China(Grant No.2021M693422)。
Let a:=(a_(1),...,a_(n))2[1,∞)^(n),p∈(0,1),andα:=1/p-1.For any x∈R^(n)and t∈[0,∞),letΦ_(p)(x,t):={t/1+(t[x]_(a)^(ν))^(1-p)if να■N,t/1+(t[x]_(a)^(ν))^(1-p)[log(e+|x|a)]^(p)if να∈N,let where [·]a:=1+|·|...
This paper indicates the problem of the famous Riemann hypothesis (RH), which has been well-verified by a definite answering method using a Bose-Einstein Condensate (BEC) phase. We adopt mathematical induction, mappin...
We study the structure of rings which satisfy the von Neumann regularity of commutators,and call a ring R C-regularif ab-ba ∈(ab-ba)R(ab-ba)for all a,b in R.For a C-regular ring R,we prove J(R[X])=N^(*)(R[X])=N^(*)(R...
Supported by the National Natural Science Foundation of China(Grant No.12201500);the Science Foundation for Youths of Gansu Province(Grant No.22JR5RA173);the Young Teachers’Scientific Research Ability Promotion Project of Northwest Normal University(Grant No.NWNU-LKQN2020-07)。
The main goal of this paper is to establish the boundedness of bilinear strongly singular operator T^(-)and its commutator Tb_(1),b_(2)on generalized Morrey spaces M_(p)^(u)(μ)over non-homogeneous metric measure spac...
supported in part by the scientific research start-up fund project for introducing high-level talents from Sanming University(No.23YG09).
This paper is devoted to exploring the mapping properties for the commutatorμ_(Ω),(b)generated by multilinear Marcinkiewicz integral operatorsμΩwith a locally integrable function(b)=(b_(1),…,b_(m))on the generali...
Supported by the National Natural Science Foundation of China(Grant No.11571160);the Research Funds for the Educational Committee of Heilongjiang(Grant No.2019-KYYWF-0909);the Reform and Development Foundation for Local Colleges and Universities of the Central Government(Grant No.2020YQ07)。
Let 6=(bi,b2,...,bm)be a collection of locally integrable functions and T,the com-mutator of multilinear singular integral operator T.Denote by L(δ)and L(δ(·))the Lipschitz spaces and the variable Lipschitz spaces,...