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1.
令L=-△+μ为R~n上的广义Schr?dinger算子,n≥3,其中μ≠0是满足尺度不变Kato条件和双倍条件的非负Radon测度.本文使用经典不等式估计,利用变指标和附加函数的性质,证明了与广义Schrodinger算子相关的Marcinkiewicz积分算子在变指标Herz-Morrey空间上是有界的.  相似文献   

2.
群体多目标决策联合有效解类的不变凸充分条件   总被引:2,自引:0,他引:2  
对于群体多目标决策问题,文[1]引进它的联合有效解类的概念,并给出这类解的最优性必要条件,在对于问题的目标函数和约束函数附加凸性的条件下,文[2]又给出了联合有效解类的最优性充分条件,本文进一步在目标函数和约束函数具不变凸和不变广义 凸的情况下,分别给出了联合有效解类的若干最优性充分条件。  相似文献   

3.
在非标准分析框架下,用离散函数定义新广义函数,用差商定义其导数.对Schwartz广义函数以及更广的Gevrey超广义函数,文章证明了广义导数可以用差商表示.此外还给出了此新广义函数和Sobolev理论的关系.  相似文献   

4.
李宁  套格图桑 《数学杂志》2016,36(5):1103-1110
本文研究了构造了广义Kd V方程和广义KP-Burgers方程等几种广义非线性发展方程的新解的问题.利用三种辅助方程及其新解,获得了广义Kd V方程和广义KP-Burgers方程等几种广义非线性发展方程的新解.这些解由双曲余割函数、双曲正切函数、双曲正割函数、双曲余切函数和余割函数组成.  相似文献   

5.
本文采用非标准分析方法,首先对广义函数的赋值问题进行了完善;接着界定了广义函数的积分;最后讨论了广义函数的广义连续性.  相似文献   

6.
王瑞梅  赵凯 《应用数学》2019,32(1):161-167
令$\mathcal{L}=-\Delta+\mu$为$\mathbb{R}^n$上的广义Schr\"{o}dinger算子, $n\geqslant3$, 其中 $\mu\neq0$是满足尺度不变Kato条件和双倍条件的非负Radon测度. 本文使用经典不等式估计, 利用变指标和附加函数的性质, 证明了与广义Schr\"{o}dinger算子相关的Marcinkiewicz积分算子在变指标Herz-Morrey空间上是有界的.  相似文献   

7.
基于广义H-差研究了收益是模糊数的合作博弈的广义Shapley函数。首先,对广义H-差的运算做了合理的假设,并以此为基础,给出了区间值合作博弈的广义区间Shapley值的定义和公理体系。然后,根据模糊数与其截集的关系,给出了模糊支付合作博弈的广义Shapley函数的表达式,并用广义有效性、广义哑元性、广义对称性、广义可加性等四条公理刻画了该广义Shapley函数。同时,给出了广义Shapley函数的存在性条件,证明了广义Shapley函数的存在性与唯一性。并且发现,任意的区间值合作博弈的广义区间Shapley值都存在,任意的收益为中心三角模糊数的合作博弈的广义Shapley函数也都存在。另外,本文指出了不能直接利用α—截集博弈的广义区间Shapley值通过集合套理论构造广义Shapley函数。  相似文献   

8.
在广义函数空间上重新定义了Drygas型函数方程的稳定性,然后利用高斯变换将广义函数空间上的函数方程稳定性转换为R~(n+1)空间上的光滑函数方程的稳定性.在求得正则化的函数方程稳定性后,利用广义函数与正则化函数间的关系给出在广义函数空间上的Drygas型函数方程的Hyers-Ulam-Rassias型稳定性.  相似文献   

9.
張恭慶 《数学学报》1963,13(2):193-203
<正> §1. 广义函数构造的研究是广义函数論的一个課題.不少广义函数是有限級的(如S广义函数),就可以通过連續函数(或L_2可积函数)的某阶广义微商表出,从而很多問題的处理都变得簡单了.但是还有很多广义函数是无限阶的,它們的表示怎样?作为S′的推广,我們将研究空間的一个表示問題,証明它們也可以看成是一个  相似文献   

10.
在本文中,我们给出了构造Said型广义Ball基函数的新方法,该方法的优点在于,既可以推出奇次多项式的Said型广义Ball基函数表示,也可以推出偶次多项式的Said型广义Ball基函数表示;该方法的另一优点是,能很自然地定义Said型广义Ball基函数的对偶泛函; 给出了Said型广义Ball基函数的积分性质;定义了一种新的基函数, Said型广义Ball基函数是其特例; 给出了这种新的基函数的对偶泛函和类Marsden恒等式.  相似文献   

11.
程麟趾 《应用数学》2006,19(4):688-695
作者引入了公理P1)~P5),由此建立了一个和分布的舒瓦兹乘积相容的附加分布的乘积系.  相似文献   

12.
Semigroup Forum - A nilmonoid is a nilsemigroup N with an identity element adjoined. New properties of the canonical presentation of N yield a more precise characterization of 2-cocycles,...  相似文献   

13.
The category of Hilbert C*-modules over a given C*-algebra is shown to be equivalent to a certain simply described category of Hilbert bundles (i.e., continuous fields of Hilbert spaces) over the space of pure states of the C*-algebra with the zero functional adjoined.

  相似文献   


14.
Jiaqun Wei 《代数通讯》2013,41(9):3823-3832
We study polynomial identities of algebras with adjoined external unit. For a wide class of algebras we prove that adjoining external unit element leads to increasing of PI-exponent precisely to 1. We also show that any real number from the interval [2,3] can be realized as PI-exponent of some unital algebra.  相似文献   

15.
In this paper, using the notion of "Cauchy sequences", we study the injectivity of acts over left zero semigroups, and give some equivalent conditions to it. We see that Baer criterion is true if an identity is adjoined to the semigroup. Further, we find injective hulls of acts over left zero semigroups. We hope that the technique used here will be useful to study injectivity of acts over some other more general semigroups.  相似文献   

16.
In this paper we continue the study described earlier in No. 5, 2006, of Russian Mathematics (Izv. Vyssh. Uchebn. Zaved., Matematika). We establish conditions, providing the asymptotics mentioned in the cited paper. We prove the basis property of eigen functions and adjoined ones in linear problems for differential equations with deviating arguments.  相似文献   

17.
If a continuous function f is approximated by elements of a Haar space in the maximum norm on an interval, the error curve of the best approximation has well known alternation properties. It is shown that if f is adjoined to the Haar space all zeros of the error function are monotonously increasing functions of the endpoints, and that under an additional hypothesis, the entire graph of the error curve is shifted to the left or right when the endpoints are moved accordingly.  相似文献   

18.
The embedding problem of number fields is considered. It is proved that the problem is solvable if and only if all associated local problems corresponding to infinite points are solvable. It is also proved that the solvability of the adjoined problem with Sylow 2-group implies the solvability of the original problem. Bibliography: 6 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 349, 2007, pp. 135–145.  相似文献   

19.
If G is a finite group with subgroup H, then the Chermak–Delgado measure of H (in G) is defined as |H||C G (H)|. The Chermak–Delgado lattice of G, denoted 𝒞𝒟(G), is the set of all subgroups with maximal Chermak–Delgado measure; this set is a moduar sublattice within the subgroup lattice of G. In this paper we provide an example of a p-group P, for any prime p, where 𝒞𝒟(P) is lattice isomorphic to 2 copies of ?2 (a quasiantichain of width 2) that are adjoined maximum-to-minimum. We introduce terminology to describe this structure, called a 2-string of 2-diamonds, and we also give two constructions for generalizing the example. The first generalization results in a p-group with Chermak–Delgado lattice that, for any positive integers n and l, is a 2l-string of n-dimensional cubes adjoined maximum-to-minimum and the second generalization gives a construction for a p-group with Chermak–Delgado lattice that is a 2l-string of ? p+1 (quasiantichains, each of width p + 1) adjoined maximum-to-minimum.  相似文献   

20.
Functionals which behave (sub-, super-) additively on similarly ordered functions occur quite naturally in many contexts. In the present paper we characterize (super-) additive functionals which are defined on a family of functions with the Stone-property in terms of their naturally adjoined dyadic martingales. As corollaries we obtain essential generalizations of integral representations as derived by Schmeidler (1986) and discussed in a recent monograph of Denneberg (1994).

  相似文献   


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