局部Hardy与Lorentz空间的关系

本文研究局部Hardy空间Hloc1(Ω)与局部Lorentz空间Lloc1,γ(Ω)(0<γ≤1)之间的关系.当0<γ≤1/2时,两者无不包含;当1/2<γ≤1时,Hloc1(Ω)中的非负函数必然属于Lloc1,γ(Ω).     

局部Hardy与Lorentz空间的关系

本文研究局部Hardy空间H1 loc(Ω)与局部Lorentz空间L1,γ loc(Ω)(0＜r≤1)之间的关系.当0＜r ≤1/2时,两者无不包含;当1/2＜r≤1时,H1 loc(Ω)中的非负函数必然属于L1 loc(Ω).     

Kepler装球猜想：进展及相关问题

１９９８年８月９日,美国数学家ＴｈｏｍａｓＣ．Ｈａｌｅｓ向世人宣布,他已经（借助计算机）证明Ｊ．Ｋｅｐｌｅｒ在１６１１年提出的装球猜想,数学家们随即开展了检查工作．Ｋｅｐｌｅｒ其人及这个以他名字命名的猜想,已经为广大数学工作者与爱好者所熟知,这里再用...     

加权Lorentz空间上的Littlewood-Paley算子

本文证明了一个与Ｌｉｔｔｌｅｗｏｏｄ－Ｐａｌｅｙ算子有关的不等式,由此导出Ｌｉｔｔｌｅｗｏｏｄ－Ｐａｌｅｙ算子在加权Ｌｏｒｅｎｔｚ空间的有界特征．     

变指数Lorentz鞅空间的内插

本文研究了变指数Lorentz鞅空间的插值问题.利用函数参数方法,获得了几类变指数Lorentz鞅空间的插值定理,推广了常指数Hp鞅空间下的结果.     

非交换加权Lorentz空间的对偶空间

设μ是一个半有限von Neumann代数.对于0P∞,0q≤∞,定义了非交换加权Lorentz空间Λ_ω~(p,q)(μ)及其associate空间Λ_ω~(p,q)(μ)',给出了空间Λ_ω~(p,q)(μ)'和Λ_ω~(p,q)(μ)'的一些基本性质.应用这些性质,还给出了非交换加权Lorentz空间Λ_ω~p(μ),0P∞的对偶空间.     

装球种种计算

生活中常能见到球形物体装箱调运的问题，由于外包装的各式各样，装球过程中就遇到了各种不同的计算，下面介绍几个简单的例子。     

三维Lorentz空间形式的共形群

研究了三维Lorentz空间形式R1^3,S1^2,H1^3的共形群,通过计算得到R1^3,S1^3,H1^3的共形群的具体表达形式,为进一步研究三维Lorentz空间式上的共形几何奠定基础．     

关于Cesaro矢值序列空间

本文讨论Cesaro矢值序列空间ces_p(E_k),1相似文献   

Lorentz空间极大函数的加权弱型不等式

本文研究一类分数极大算子(包含一些已知的结果作为特殊情况),在Lorentz空间的四权弱型不等式.     

Interpolation of Classical Lorentz Spaces1

We describe the K-functional and identify the real interpolated spaces of general quasi–Banach couples of classical Lorentz spaces. Applications are given which include interpolation of spaces of Lorentz–Zygmund type.     

On Approximation of Function Classes in Lorentz Spaces with Anisotropic Norm

In this paper, Lorentz space of functions of several variables and Besov＇s class are considered. We establish an exact approximation order of Besov＇s class by partial sums of Fourier＇s series for multiple trigonometric system.     

On Large Lattice Packings of Spheres

The packing density of large lattice packings of spheres in Euclidean E ^d measured by the parametric density depends on the parameter and on the shape of the convex hull P of the sphere centers; in particular on the isoperimetric coefficient of P and on the second term in the Ehrhart polynomial of the lattice polytope P. We show in E ^d , d 2, that flat or spherelike polytopes generate less dense packings, whereas polytopes with suitably chosen large facets generate dense packings. This indicates that large lattice packings in E ³ of high parametric density may be good models for real crystals.     

到序列空间的乘子

这篇论文刻画了 (Ap,α,lq) (0

0 ,p ≤ q≤∞ )的特征 ,作为其推论 ,获得了 (Al;lq)、(Hp,lq)、(Gp,lq)和 (Bp,lq) (0

相似文献   

On the calculation of the James constant of Lorentz sequence spaces

In [M. Kato, L. Maligranda, On James and Jordan-von Neumann constants of Lorentz sequence spaces, J. Math. Anal. Appl. 258 (2001) 457-465], the James constant of the 2-dimensional Lorentz sequence space d(2)(ω,q) is computed in the case where 2?q<∞. It is an open problem to compute it in the case where 1?q<2. In this paper, we completely determine the James constant of d(2)(ω,q) in the case where 1?q<2.     

局部对称Lorentz空间中的具有常数量曲率的完备类空超曲面

The complete space-like hypersurfaces with constant normal saclar curvature is discussed in a locally symmetric Lorentz space. A classified theorem is obtained by the operator L_1 introduced by S Y Cheng and S T Yau [3].     

Equality of Some Classical Lorentz Spaces

We prove that although the class of M _p -weights of Muckenhoupt is strictly smaller than class of B _p -weights of Ariño and Muckenhoupt, both classes produce the same classical Lorentz spaces. An analogous result is obtained for other classes of weights.     

Orlicz序列空间的粗系数

证明了Orlicz序列空间lm的粗系数R（lm）=2／supky,这里‖y‖0n=1ky=min{k＞0：‖y‖0n=1/k（1＋PN（ky））}．