共查询到20条相似文献,搜索用时 62 毫秒
1.
2.
设F(z)为亚纯函数,若F可表为 F(z)=f°g(z) (1) 其中g为整函数,f为亚纯函数(当f为有理函数时,g可为亚纯函数)。我们称(1)为F的一个分解。若F的任何形如(1)的分解都只能是f或g为线性函数,则称F为素的。如果F的任何形如(1)的分解都只能以g为多项式或f为有理函数的形式出现,则称F为拟素的。 相似文献
3.
具有Borel例外值的亚纯函数的分解 总被引:1,自引:0,他引:1
引言 亚纯函数分解理论中,具有例外值的亚纯函数的分解,是一个值得关注的问题。1970年Goldstein证明了: 定理A 设F(z)是一有穷级的整函数,且δ(a,F)=1(a≠∞),则 F(z)是拟素的。 相似文献
4.
任锋 《数学的实践与认识》2019,(18)
研究薛定谔型算子V~(β_1)▽(-△+V)~(-β_2).当位势函数V属于逆Holder函数类RH_s(sn/2)时,利用函数分解技巧,得到了这个算子在广义Morrey空间上的有界性质.这个结果丰富和改进了一些已有的一些结论. 相似文献
5.
令X为一个紧致度量空间,fX→X为(拓扑)传递的映射.通过对传递系统(X,f)在fn,n∈N的作用下的伪分解,先引入一个新的拓扑不变量"传递系统的PD函数(伪分解函数)".然后,讨论关于此不变量的一些重要性质.最后,把关于周期轨道的Sharkovskii定理推广到传递子系统上. 相似文献
6.
研究了Littlewood-Paley g_λ~*-函数交换子的端点估计.利用函数分解技术,证明了当q1时g_λ~*-函数与LMO(R~n)(BMO(R~n)的一个子空间)函数生成的交换子[b,g_λ~*]是局部Hardy空间h1(R~n)到空间h~1(R~n)+L~q(R~n)的一个连续映射.推广了Coifman,Rochberg和Weiss关于交换子的经典结果. 相似文献
7.
令X为一个紧致度量空间,f:x→X为(拓扑)传递的映射.通过对传递系统(X,f)在fn,n∈N的作用下的伪分解,先引入一个新的拓扑不变量“传递系统的PD函数(伪分解函数)”. 然后,讨论关于此不变量的一些重要性质.最后,把关于周期轨道的Sharkovskii定理推广到传递子系统上. 相似文献
8.
李海龙 《纯粹数学与应用数学》2003,19(3):219-222
给出了整数标准分解式的数论函数β(n,p)和它的均值∑n≤Nβ(n,p)的定义,推出了整数n标准分解式的指数函数计算公式和均值∑n≤Nβ(n,p)的精确计算公式. 相似文献
9.
设 p是一个素数 ,n是任意正整数 ,函数α(n ,p)表示 p在n !标准分解式中的指数 ,本文给出了函数α(n ,p)的均值 ∑n相似文献
10.
11.
It is known that the space of homogeneous type introduced by Coifman and Weiss (1971) provides a very natural setting for establishing a theory of Hardy spaces. This paper concentrates on how the geometrical conditions of the space of homogeneous type play a crucial role in building a theory of Hardy spaces via the Littlewood-Paley functions. 相似文献
12.
准凸映照齐次展开式的精细估计 总被引:1,自引:0,他引:1
本文给出C~n中单位多圆柱上和复Banach空间中单位球上的准凸映照(含A型准凸映照和B型准凸映照)f齐次展开式的精细估计,其中x=0是f(x)-x的k 1阶零点.同时,还讨论了复Banach空间单位球上准凸映照的构造,它为准凸映照齐次展开式的精细估计提供极值映照. 相似文献
13.
The authors introduce the inhomogeneous Besov space and the inhomogeneous Triebel-Lizorkin space on spaces of homogeneous type: and present their atom and molecule decompositions, their dual spaces and the complex interpolation theorems. They also establishe the relation between the homogoeneous Besov space and the inhomogeneous one, and between the homogeneous Triebel-Lizorkin space and the inhomogeneous one. Moreover, they establish T1 theorems for these inhomogeneous spaces when a≠0, and apply these T1 theorems to give new characterizations of these spaces. 相似文献
14.
The authors introduce the inhomogeneous Besov space and the inhomogeneous Triebel-Lizorkin space on spaces of homogeneous type: and present their atom and molecule decompositions, their dual spaces and the complex interpolation theorems. They also establishe the relation between the homogoeneous Besov space and the inhomogeneous one, and between the homogeneous Triebel-Lizorkin space and the inhomogeneous one. Moreover, they establish T1 theorems for these inhomogeneous spaces when a≠0, and apply these T1 theorems to give new characterizations of these spaces. 相似文献
15.
Oksana Yakimova 《Transformation Groups》2006,11(2):305-335
Let X = G/K be a connected Riemannian homogeneous space of a real Lie group G. The homogeneous space X is called commutative
or the pair (G, K) is called a Gelfand pair if the algebra of G-invariant differential operators on X is commutative. We prove
an effective commutativity criterion and classify Gelfand pairs under two mild technical constraints. In particular, we obtain
several new examples of commutative homogeneous spaces that are not of Heisenberg type. 相似文献
16.
In the setting of spaces of homogeneous type, we give a direct proof of the local Tb theorem for singular integral operators. Motivated by questions of S. Hofmann, we extend it to the case when the integrability conditions are lower than 2, with an additional weak boundedness type hypothesis, which incorporates some Hardy type inequalities. The latter can be obtained from some geometric conditions on the homogeneous space. For example, we prove that the monotone geodesic property of Tessera suffices. 相似文献
17.
JiangLiya XuMing 《高校应用数学学报(英文版)》2004,19(2):203-211
An equivalent definition of fractional integral on spaces of homogeneous type is given.The behavior of the fractional integral operator in Triebel-Lizorkin space is discussed. 相似文献
18.
极大奇异积分算子的一个BLO估计 总被引:1,自引:0,他引:1
本文研究以(Ω(x)/|z|n))为核的极大齐次奇异积分算子在空间BMO(R~n)上的性质,其中Ω是一个零阶齐次函数且在单位球面上均值为零.可以证明:若Ω满足某种最小尺度条件和某种L~1-Dini型正则性条件,则此极大奇异积分算子是由BMO(R~n)到BLO(R~n)的有界算子. 相似文献
19.
Joonil Kim 《Journal of Geometric Analysis》2005,15(4):669-684
In this article we study the singular integral operators along the curve on the Heisenberg group. It is a variable coefficient
extension of the singular integrals along the odd curves on the Euclidean space ℝ2. The proof is based on the generalized Calderon-Zygmund theory on the space of homogeneous type. 相似文献
20.
We develop a constructive approach to the problem of describing affinely homogeneous real hypersurfaces in 3-dimensional complex space having nondegenerate sign-indefinite Levi form. We construct the affine invariants of a nondegenerate indefinite hypersurface in terms of second-order jets of its defining function and introduce the notion of the affine canonical equation of this surface. Three main types of canonical equations are considered. For each of these types, we construct a family of Lie algebras related to affinely homogeneous surfaces of a particular type. As a result, a family (depending on two real parameters) of affinely different homogeneous submanifolds of 3-dimensional complex space is presented (as matrix algebras). 相似文献