Classical Fourier Analysis over Homogeneous Spaces of Compact Groups

This paper introduces a unified operator theory approach to the abstract Fourier analysis over homogeneous spaces of compact groups. Let G be a compact group and H be a closed subgroup of G. Let G/H be the left coset space of H in G and μ be the normalized G-invariant measure on G/H associated to the Weil＇s formula. Then, we present a generalized abstract framework of Fourier analysis for the Hilbert function space L^2 （G / H, μ）.

Transversality on locally pseudocompact groups

Two non-discrete Hausdorff group topologiesτandδon a group G are called transversal if the least upper boundτ⋁δofτandδis the discrete topology.In this paper,we discuss the existence of transversal group topologies on locally pseudocompact,locally precompact,or locally compact groups.We prove that each locally pseudocompact,connected topological group satisfies central subgroup paradigm,which gives an affirmative answer to a problem posed by Dikranjan,Tkachenko,and Yaschenko[Topology Appl.,2006,153:3338–3354].For a compact normal subgroup K of a locally compact totally disconnected group G,if G admits a transversal group topology,then G/K admits a transversal group topology,which gives a partial answer again to a problem posed by Dikranjan,Tkachenko,and Yaschenko in 2006.Moreover,we characterize some classes of locally compact groups that admit transversal group topologies.

A CHARACTERIZATION OF LOCALLY COMPACT INNER AMENABLE GROUPS

For locally compact groups G, Kuan Yuan studied a notion of inner amenability groups, that is, if there exists an inner invariant mean on G. In this article, among other things, the author investigates the inner amenability on a locally compact group G. The author gives sufficient conditions and some necessary conditions about G to have an inner invariant mean.

Γ-amenability of Locally Compact Groups

Let G be a locally compact group and let F be a closed subgroup of G × G. Pier introduced the notion of F-amenability which gives a new classification of groups. This concept generalizes the concept of amenability and inner amenability for locally compact groups. In this paper, among other things, we extend some standard results for amenable groups to F-amenable groups and give various characterizations for F-amenable groups. A sequence of characterizations of F-amenable groups is given here by developing the well-known Flner＇s conditions for amenable locally compact groups. Several characterizations of inner amenability are also given.

CONVERGENCE OF A CLASS OF MEANS OF H^p FUNCTIONS(0

In this paper we study the convergence nf a class of means on H^p(G)(0<p<1),the means take the Bochner-Riesz means in[1],the generalized Bochner-Riesz means in[2],and the operators T^(Φ_r)in[3]as special cases.We obtain weak-type estimates for the associated maximal operators and the maximal mean boundedness for the means.

About Compact and Sequentially Compact Coincide in Topological Groups with the Axiom (A_1)

This paper is concerned with the relation between the compactness and sequential compactness in a topological space or a topological group, and show that the compactness and sequential compactness coincide in a topolpgical group with the axiom (A1).

The formation of compact groups of galaxies

In the compact group of galaxies the galaxies can merge into a few massive ones in a very short time, so they must be formed very recently. On the other hand, according to the theory of structure formation, the denser system should form earlier. By analyzing the apparent paradox, we suggest that the merging process of CDM halo plays an important role in the formation of the compact groups of galaxies: it delays the formation of compact groups of galaxies, and makes the groups of galaxies much denser.

Boundeness of a Class of Maximal Operators on H^p Spaces on Compact Lie Groups

In this paper we discuss the weak type(H^p,L^p) boundedness of a class of maximal operators T*^ψ and themaximal strong mean boundedness of a family of the operators ｛T^ψ｝ on the atomic H^p spaces on compact Lic groups.Also,we obtain the correspoding convergent results.

MULTIPLIERS ON WEIGHTED FUNCTION SPACES OVER LOCALLY COMPACT VILENKIN GROUPS

In this note, we consider the multipliers on weighted function spaces over totally disconnected locally compact abelian groups (Vilenkin groups). Firstly we show an (H1 ,L ) multiplier result. We also give an (Hap ,Hap) multiplier result under a similiar condition of Lu Yang type. In section 2, we obtain a result about the boundedness of multipliers on weighted Besov spaces.

COMPENSATED COMPACTNESS AND THE STRATIFIED LIE GROUP

In this paper we prove that the Jacobian J（F） of a map F（f1,…,f1 from Ginto Rt maps the product of Lebesgue space Lp1×…× Lp1 into local Hardy space hY（G）,whereQ/Q＋1〈r〈1,and Q is the homogeneous dimension of the stratified Lie group G.

三级公立医院紧密型城市医疗集团建设的探索与思考

加强紧密型城市医疗集团一体化管理,助力分级诊疗政策落地,对提升基层医院医疗水平具有促进作用。以某市级三甲公立医院为例,对紧密型城市医疗集团成员单位在医、教、研、防及管理上实施一体化管理,通过责权协同、资源协同、业务协同等方法,以资源下沉共享为核心,搭建联盟平台,通过网格化布局,构建分级诊疗服务新格局。针对医疗集团基层单位,建立定期反馈机制,针对基层医疗集团运营中的难点,帮助基层单位找准定位,促进医疗集团内部协同发展,通过深化创新实践,推动医防融合。紧密型城市医疗集团实施一体化管理后,集团成员单位社会影响力扩大,医疗服务能力得到提升,医疗科研技术水平也得到不同程度的提高,基层医院获得百姓的认可。

指数有界n阶α次积分C群的紧性

利用指数有界n阶α次积分C群及其次生成元的定义,并借助经典算子理论的研究方法,给出了指数有界n阶α次积分C群紧的定义,从而推导出指数有界n阶α次积分C群的紧性的一些性质。

紧密型城市医疗集团交易费用测量与评价研究

目的对紧密型城市医疗集团的交易费用进行测量,并分析各利益主体对交易费用的评价。方法采用典型抽样法,以河南省郑州市J区总医院紧密型城市医疗集团为研究范例,于2024年1月19—24日,对建设方(卫生健康行政部门、牵头医院和成员单位)及相关工作人员进行问卷调查。调查内容包括机构报表、受访者基本信息、各参与主体的相关费用或成本、各参与主体工作人员对交易费用的评价等。结果2023年郑州市J区紧密型城市医疗集团的总交易费用为75811014.49元;牵头医院承担了绝大部分交易费用(98.1%);各方均认为交易费用普遍存在,但对交易费用的存在形式和分布环节的认知有显著差异(P<0.05)。结论紧密型城市医疗集团的交易费用高昂,绝大部分由牵头医院承担;各方尚未清晰认知交易费用的存在形式和分布环节;应从“正视交易费用普遍存在”“健全补偿激励机制”和“建立节约性制度供给路径”3个层面入手应对紧密型城市医疗集团的交易费用。

指数有界双参数n阶α次积分C群的紧性

利用指数有界双参数n阶α次积分C群及其次生成元的定义,并借助经典算子理论的研究方法,给出双参数n阶α次积分C群紧的定义,得到指数有界双参数n阶α次积分C群的紧的性质。

大华桥水电“满管群”入仓关键技术研究

大华桥大坝两岸边坡陡峭,马道宽度较窄,无法采用常规入仓手段。项目技术人员通过对实际地形的研究,采用满管群的形式进行入仓规划研究,在左右岸坝顶先浇筑一个坝段作为满管受料平台,通过满管+胶带机+满管的形式有效解决了左岸底部入仓、缺口入仓等技术难题,同时取得了右岸长近百米的满管应用、缺口高差45m的垂直满管应用技术成果。

An Expository on Some Nonstandard Compactifications

Three classical compactification procedures are presented with nonstandard flavour. This is to illustrate the applicability of Nonstandard analytic tool to beginners interested in Nonstandard analytic methods. The general procedure is as follows: A suitable equivalence relation is defined on an enlargement *X of the space X which is a completely regular space or a locally compact Hausdorff space or a locally compact Abelian group. Accordingly, every f in C(X,R) (the space of bounded continuous real valued functions on X) or Cc(X,R) (the space of continuous real valued functions on X with compact support) or the dual group Γ of the locally compact Abelian group G is extended to the set of the above mentioned equivalence classes. A compact topology on is obtained as the weak topology generated by these extensions of f. Then X is naturally imbedded densely in .

城市紧密型医联体医疗质量同质化管理的路径和作用

目的研究城市紧密型医联体医疗质量同质化管理的路径和作用。方法基于全面资源理论视角,以西宁市第一医疗集团为代表,进行典型案例的深入挖掘和解剖,从而研究紧密型医联体医疗质量同质化管理的实施路径,分析其在基层医疗卫生服务能力和效能提升中的作用机制和意义。结果西宁市第一医疗集团以城市紧密型医联体为载体,以县域医疗质量同质化为重点,推动优质医疗资源下沉,从而提升了县域基层医疗卫生服务能力和效能,实现分级有序就诊。结论城市紧密型医联体的组织模式和机制创新可助力县域医疗质量的同质化管理。医联体内医疗质量同质化对基层能力和整体服务效能提升具有重要作用和意义。

GROUP VELOCITY CONTROL SCHEME WITH LOW DISSIPATION

In order to prevent smearing the discontinuity, a modified term is added to the third order Upwind Compact Difference scheme to lower the dissipation error. Moreover, the dispersion error is controled to hold back the non physical oscillation by means of the group velocity control. The scheme is used to simulate the interactions of shock density stratified interface and the disturbed interface developing to vortex rollers. Numerical results are satisfactory.

Two Notes on Topological Groups

In this short paper, we firstly give a short proof of Birkhoff-Kakutani Theorem by Moore metrizable Theorem. Then we prove that G is a topological group if it is a paratopological group which is a dense G_δ-set in a locally feebly compact regular space X.

高可靠工业计算机——Compact PCI计算机

近年来,空难、海难、化工现场爆炸、公共场所失火、军火库爆炸,列车出轨、地铁停运等等灾难发生,无论是人为,还是天灾,这都与安全防范失控有关,都与安防系统的硬件、软件的失效有关。其中,主控计算机就是关键设备之一。