共查询到20条相似文献,搜索用时 54 毫秒
1.
Elliott H. Lieb 《Inventiones Mathematicae》1983,74(3):441-448
IfA andB are two bounded domains in
n
and (A), (B) are the lowest eigenvalues of – with Dirichlet boundary conditions then there is some translate,B
x, ofB such that (AB
x)<(A)+(B). A similar inequality holds for
.There are two corollaries of this theorem: (i) A lower bound for sup
x
{volume (AB
x)} in terms of (A), whenB is a ball; (ii) A compactness lemma for certain sequences inW
1,p
(
n
).Work partially supported by U.S. National Science Foundation grant PHY-8116101 A01. AMS(MOS) Classification: 35P15 相似文献
2.
A. Yu. Šadrin 《Analysis Mathematica》1986,12(3):175-184
. L
p
, 0<p<, . , f, {E
n
(f)
p
}
1
p>0 .
The author expresses his thanks to S. B. Stekin for the attention he has paid to this work. 相似文献
The author expresses his thanks to S. B. Stekin for the attention he has paid to this work. 相似文献
3.
We study (s, k, 1, 2)-translation divisible designs with 10 in the singular and semi-regular case. Precisely, we describe singular (s, k, 1, 2)-TDD's by quasi-partitions of suitable quotient groups or subgroups of their translation groups. For semi-regular (s, k, 1, 2)-TDD's (and, more general, for the case 2>1) we prove that their translation groups are either Frobenius groups or p-groups of exponent p. Some examples are given for the singular, semi-regular and regular case. 相似文献
4.
V. V. Makeev 《Journal of Mathematical Sciences》2002,110(4):2774-2775
Let A1,...,An be points in
, let
be a fixed point, let p be a positive integer, and let 1,...,n be positive real numbers. If the
does not depend on the position of M on a sphere with center O, then one says that the point system {A1,...,An} has an invariant of degree p with weight system {,...,n}. It is proved that for arbitrary positive integers d and N there exists a finite point system
having invariants of degrees p=1,...,N with common positive weight system {1,...,n}. Bibliography: 2 titles. 相似文献
5.
An integer partition {1,2,...,
v
} is said to be graphical if there exists a graph with degree sequence
i
. We give some results corcerning the problem of deciding whether or not almost all partitions of even integer are non-graphical. We also give asymptotic estimates for the number of partitions with given rank. 相似文献
6.
Let
, the parameter space, be an open subset ofR
k
,k1. For each
, let the r.v.'sX
n
,n=1, 2,... be defined on the probability space (X, P
) and take values in (S,S,L) whereS is a Borel subset of a Euclidean space andL is the -field of Borel subsets ofS. ForhR
k
and a sequence of p.d. normalizing matrices
n
=
n
k × k
(0 set
n
*
= * = 0 +
n
h, where 0 is the true value of , such that *,
. Let
n
(*, *)( be the log-likelihood ratio of the probability measure
with respect to the probability measure
, whereP
n
is the restriction ofP
over
n
= (X
1,X
2,...,X
n
. In this paper we, under a very general dependence setup obtain a rate of convergence of the normalized log-likelihood ratio statistic to Standard Normal Variable. Two examples are taken into account. 相似文献
7.
G. M. Deheri 《数学学报(英文版)》1996,12(1):105-112
This article reveals the topological impact of fully--bases in locally convex spaces where carries either the traditional normal topology or the fairly generalized-topology of Ruckle. It has been established that the generalized nuclearity of plays a significant role in influencing the topology of the space. Further, the equivalence of normal topology and the topology arising out of the fully--base ( being equipped with normal topology or-topology) has been investigated.We acknowledge with thanks the suggestions of the referee. 相似文献
8.
A. Sh. Abakarov 《Journal of Mathematical Sciences》1984,27(4):2831-2848
This paper deals with the ideals of identities of certain associative algebras over a field F of characteristic zero. An algebra W of matrices of the form
,,,M, where and , are F-algebras with unity and M is a (,)-bimodule, is considered. Under certain natural restrictions on M one obtains the equality of ideals of identities T(W)=T()T(), if [[x1,x2], x3[x4,x5]]T().Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 114, pp. 7–27, 1982. 相似文献
9.
Friedhelm Waldhausen 《Inventiones Mathematicae》1967,4(2):87-117
Ohne ZusammenfassungDies ist der zweite Teil einer aus technischen Gründen aufgeteilten Arbeit. Kenntnis des ersten Teils ([13]) ist notwendig für die Lektüre des zweiten Teils. Hinweise der Art (,), mit<=5, beziehen sich auf den ersten Teil. 相似文献
10.
Letf be analytic in a hyperbolic region . The Bloch constant
f
off is defined by
, where (z)|dz| is the Poincaré metric in . Suppose is hyperbolic and
where
. Then for allf withf() , we have
f
1/(). In this paper we study the extremal functions defined by
f
=1/() and the existence of those functions.Supported by the National Natural Science Foundation of China. 相似文献
11.
Maria Moszyńska 《Geometriae Dedicata》2000,83(1-3):131-147
Let
be a family of star bodies in R
n
(compact bodies in R
n
with nonempty kernels). A function s:
R
n
is a selector for
provided that s(A) ker A for every A
. To every star body A and every : [0,) [0,) we assign a function A: ker A R defined in terms of the radial function of translates of A. We prove that if A is convex and is concave and strictly increasing, then
A
has a unique maximizer, which is referred to as the radial center of A induced by (Theorem 3.1). We extend the radial center map over some family of star bodies (Theorem 4.2). Further, we define a suitable metric,
st
, the star metric, on the family of all the compact star sets in R
n
. This new metric is topologically stronger than the Hausdorff metric (Theorem 5.7). We study the continuity of our selectors with respect to
st
. 相似文献
12.
The solubility of certain diophantine inequalities 总被引:1,自引:0,他引:1
Hongze Li 《数学学报(英文版)》1995,11(2):137-145
Let 1, 2, ...,
s
bes non-zero real numbers not all of the same sign and not all in rational ratio, andk be a natural number; letD(k) be the leasts for which the inequality
< (maxn
j
)– has infinitely many solutions. In this paper, we give some new estimations ofD(k) fork 6.Supported by the National Natural Science Foundation of China 相似文献
13.
14.
S. I. Novikov 《Analysis Mathematica》1992,18(1):73-86
n
(D) — ,s —
n
(D),
v
(v=1, 2, ...,s/2) — .
m={0x
0<x
1<...<x
2m–1<2,x
2m
=x
0+2} , x
j
+1–x
j
<(4s max
v
)–1,j=0, 1, ..., 2m –1, ( ) 2- -
n,m
2m ,
m
. , L
q
- (1q) W
(
n
)={f
2
:f
(n–1)AC
2
,
n
(D)f 1} 2- - (s
n
f),
m
. , - -
n,m
.
The author expresses his gratitude to Yu. N. Subbotin for a useful discussion on the results of this paper. 相似文献
The author expresses his gratitude to Yu. N. Subbotin for a useful discussion on the results of this paper. 相似文献
15.
For a partition ={1230} of non-negative integers, we calculate the Euler characteristic of the local system on the moduli space of genus 3 hyperelliptic curves using a suitable stratification. For some of low degree, we make a guess for the motivic Euler characteristic of using counting curves over finite fields.Mathematics Subject Classification (1991): 14J15, 20B25 相似文献
16.
Like dismantling for finite posets, a perfect sequence = P
: of a chain complete posetP represents a canonical procedure to produce a coreP
. It has been proved that if the posetP contains no infinite antichain then this coreP
is a retract ofP andP has the fixed point property iffP
has this property. In this paper the condition of having no infinite antichain is replaced by a weaker one. We show that the same conclusion holds under the assumption thatP does not contain a one-way infinite fence or a tower.Supported by a grant from The National Natural Science Foundation of China. 相似文献
17.
Victor Kaftal 《Integral Equations and Operator Theory》1982,5(1):50-70
LetA be a von Neumann algebra,J be the ideal of compact operators relative toA and letF
+ be the left-Fredholm class ofA. We call almost left-Fredholm the class
= {A A: if P A is a projection and AP J then P J}. Then
and the inclusion is proper unlessA is semifinite and has a non-large center.
satisfies all of the algebraic properties ofF
+ but it is generally not open. IfA is semifinite then A
iff there are central projectionsG
with G = I such that AG F+(AG). Let :A A/J. Then the left almost essential spectrum ofA A,
, coincides with the set of eigenvalues of (A) 相似文献
18.
Let X be an open subset of
n and (f1, ...,fp): X
p be a holomorphic mapping. We prove that if (x0,0, 0) T* ×
p does not belong to the characteristic variety of the
X []-module
X[]f, then there exists a conic neighborhood V × of (x0, 0) such the function
is rapidely decreasing in | Im | for with Re bounded, for any (n,n)-form of class C with compact support in V. The following partial converse of this result is also established: if
for all (n,n)-forms of class C with compact support in X, then
. 相似文献
19.
(L
1,H) (, ) , ; H — . , , L
1 . [13] , . , , , . 相似文献
20.
F. Schipp 《Analysis Mathematica》1976,2(2):149-154
. . . . : {ja
j
},j=1,2,... — ,
f(x) ,
, f
[1](x) — f . 相似文献