共查询到10条相似文献,搜索用时 140 毫秒
1.
N. Ya. Medvedev 《Algebra and Logic》2001,40(4):231-238
Let be a linearly ordered set, A() be the group of all order automorphisms of , and L() be a normal subgroup of A() consisting of all automorphisms whose support is bounded above. We argue to show that, for every linearly ordered set such that: (1) A() is an o-2-transitive group, and (2) contains a countable unbounded sequence of elements, the simple group A()/L() has exactly two maximal and two minimal non-trivial (mutually inverse) partial orders, and that every partial order of A()/L() extends to a lattice one (Thm. 2.1). It is proved that every lattice-orderable group is isomorphically embeddable in a simple lattice fully orderable group (Thm. 2.2). We also state that some quotient groups of Dlab groups of the real line and unit interval are lattice fully orderable (Thms. 3.1 and 3.2). 相似文献
2.
Sun Mingbao 《Geometriae Dedicata》2001,85(1-3):119-123
The tangent point simplex of a simplex is the pedal simplex of the incenter of . In this paper we obtain some geometric inequalities between and . 相似文献
3.
We consider multidimensional weak and strong Hele-Shaw dynamics (t) of an advancing/receding viscous fluid injected/removed through a single finite point into/from a bounded domain (0). A class of weak solutions is shown to preserve local uniqueness in both directions. Then we also consider strong solutions (t), and show that if (0) is starshaped with respect to a small ball centered on the point of injection, then the evolution (t) exists for all time.Received: 5 March 2004 相似文献
4.
Martin Schottenloher 《manuscripta mathematica》1977,21(4):315-327
Given a function: + on a domain spread over an infinite dimensional complex Banach space E with a Schauder basis such that -log is plurisubharmonic and d (d denotes the boundary distance on ) one can find a holomorphic function f: with
f, where
f is the radius of convergence of f. If, in addition, is locally Lipschitz continuous with constant 1, f can be chosen so that (3M)–1
f, where M is the basis constant of E. In the particular case of E=
1 there are holomorphic functions f on with=
f. 相似文献
5.
Given a nuclear b-space N, we show that if is a finite or -finite measure space and 1p, then the functors L
loc
p
(,N.) and NL
p
(,.) are isomorphic on the category of b-spaces of L. Waelbroeck. 相似文献
6.
7.
Masaharu Nishio 《Potential Analysis》1994,3(1):153-157
We consider the heat equation on ={(x,t) R
2;t<0, ¦x¦<(–t)} and give the uniqueness of kernel functions at the infinity (see Theorem 5). For the proof, we examine the continuity of the density of the parabolic measure onD
={(x,t);t>x}, closely related to . By this theorem, we can decide the Martin boundary of (<1) with respect to the heat equation. 相似文献
8.
Weighted Composition Operators on Bergman and Dirichlet Spaces 总被引:3,自引:0,他引:3
Let H() denote a functional Hilbert space of analytic functions on a domain . Let w : C and : be such that w f is in H() for every f in H(). The operator wC
given by f w f is called a weighted composition operator on H(). In this paper we characterize such operators and those for which (wC
)* is a composition operator. Compact weighted composition operators on some functional Hilbert spaces are also characterized. We give sufficient conditions for the compactness of such operators on weighted Dirichlet spaces. 相似文献
9.
Jacques Rappaz 《Numerische Mathematik》1984,45(1):117-133
Summary We present a simple method, based on a variant of the implicit function theorem, which leads to the existence of (a part of) a nontrivial solution branch of the nonlinear eigenvalue problem –u=u
+ in ,u=–1 on , where is a two-dimensional domain with boundary . The advantage of this method is that we can apply it for analysing the approximation of the above problem by a finite element method; the error analysis of the discrete problem appears immediately. We give also an iteration scheme which allows to solve the approximate problem. 相似文献
10.
Let (n) denote the number of prime divisors of n and let (n) denote the number of prime power divisors of n. We obtain upper bounds for the lengths of the longest intervals below x where (n), respectively (n), remains constant. Similarly we consider the corresponding problems where the numbers (n), respectively (n), are required to be all different on an interval. We show that the number of solutions g(n) to the equation m+(m)=n is an unbounded function of n, thus answering a question posed in an earlier paper in this series. A principal tool is a Turán-Kubilius type inequality for additive functions on arithmetic progressions with a large modulus. 相似文献