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11.
In this paper,we establish a boundary Schwarz Lemma for holomorphic mapping on the generalized complex ellipsoid in Cn. 相似文献
12.
Lajos Soukup 《Discrete Mathematics》2011,311(15):1585
The use of elementary submodels is a simple but powerful method to prove theorems, or to simplify proofs in infinite combinatorics. First we introduce all the necessary concepts of logic, then we prove classical theorems using elementary submodels. We also present a new proof of Nash-Williams’s theorem on cycle decomposition of graphs, and finally we improve a decomposition theorem of Laviolette concerning bond-faithful decompositions of graphs. 相似文献
13.
Aydin Aytuna Vyacheslav Zakharyuta 《Proceedings of the American Mathematical Society》2008,136(5):1733-1742
The main theorem of this note is the following refinement of the well-known Lelong-Bremermann Lemma: converges to uniformly on each compact subset of .
Let be a continuous plurisubharmonic function on a Stein manifold of dimension Then there exists an integer , natural numbers , and analytic mappings such that the sequence of functions
In the case when is a domain in the complex plane, it is shown that one can take in the theorem above (Section 3); on the other hand, for -circular plurisubharmonic functions in the statement of this theorem is true with (Section 4). The last section contains some remarks and open questions.
14.
《数学物理学报(B辑英文版)》1998,18(2)
This paper studies the weakly and strictly arbitrage-free security markets. The authors extend the Farkas-Minkowski's Lemma and Stiemke's Lemma from two periods to finite periods and from finite-dimensional (Euclidean) space to locally convex topological space and separable Banack space, show weakly and strictly arbitrage-free security pricing theory, then obtain the conditional expectation form of weakly and strictly arbitrage-free security pricing formula. 相似文献
15.
William Heinzer Craig Huneke 《Proceedings of the American Mathematical Society》1998,126(5):1305-1309
We prove a sharpening of the Dedekind-Mertens Lemma relating the contents of two polynomials to the content of their product. We show that for a polynomial the integer in the Dedekind-Mertens Lemma may be replaced by the number of local generators of the content of . We also raise a question concerning the converse.
16.
Alberto Corso William Heinzer Craig Huneke 《Transactions of the American Mathematical Society》1998,350(12):5095-5109
We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind-Mertens and prove the converse under suitable dimensionality restrictions.
17.
Gabriel Nivasch 《Journal of Combinatorial Theory, Series A》2009,116(2):494-497
Let S be a set of n points in the plane, and let T be a set of m triangles with vertices in S. Then there exists a point in the plane contained in Ω(m3/(n6log2n)) triangles of T. Eppstein [D. Eppstein, Improved bounds for intersecting triangles and halving planes, J. Combin. Theory Ser. A 62 (1993) 176-182] gave a proof of this claim, but there is a problem with his proof. Here we provide a correct proof by slightly modifying Eppstein's argument. 相似文献
18.
George Voutsadakis 《Mathematical Logic Quarterly》2007,53(2):147-161
The study of structure systems, an abstraction of the concept of first‐order structures, is continued. Structure systems have algebraic systems as their algebraic reducts and their relational component consists of a collection of relation systems on the underlying functors. An analog of the expansion of a first‐order structure by constants is presented. Furthermore, analogs of the Diagram Lemma and the Reduction Operator Lemma from the theory of equality‐free first‐order structures are provided in the framework of structure systems. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
19.
Franz-Viktor Kuhlmann 《代数通讯》2013,41(5):1730-1776
We give a criterion for maps on ultrametric spaces to be surjective and to preserve spherical completeness. We show how Hensel's Lemma and the multidimensional Hensel's Lemma follow from our result. We give an easy proof that the latter holds in every henselian field. We also prove a basic infinite-dimensional Implicit Function Theorem. Further, we apply the criterion to deduce various versions of Hensel's Lemma for polynomials in several additive operators, and to give a criterion for the existence of integration and solutions of certain differential equations on spherically complete valued differential fields, for both valued D-fields in the sense of Scanlon, and differentially valued fields in the sense of Rosenlicht. We modify the approach so that it also covers logarithmic-exponential power series fields. Finally, we give a criterion for a sum of spherically complete subgroups of a valued abelian group to be spherically complete. This in turn can be used to determine elementary properties of power series fields in positive characteristic. 相似文献
20.
《Integral Transforms and Special Functions》2012,23(7):571-587
In this paper we consider modular inequalities for integral transforms. We provide a variant of Schur's Lemma and establish sufficient conditions for modular inequalities to hold. Estimates for the constants are also given. As applications, the boundedness and estimates for several averaging operators and related integral transforms are obtained, which include the Laplace transform, the modified Lambert transform, the Stieltjes transform, the Hardy-type integral transforms and related geometric mean operators. We show that several known results in the literatures can be obtained by our results. 相似文献