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1.
§1.IntroductionIn[5],MaliavinandNualartdefinedthenotionof(real)smoothmartingalesandwethenprovedin[6]thattheprocesofquasisureq... 相似文献
2.
LiuJicheng 《数学物理学报(B辑英文版)》2004,24(2):235-246
Let X be a two parameter smooth semimartingale and X~ be its process ofthe product variation. It is proved that X~ can be approximated as D∞-limit of sums ofits discrete product variations as the mesh of division tends to zero. Moreover, this resultcan be strengthen to yield the quasi sure convergence of sums by estimating the speed ofthe convergence. 相似文献
3.
Xiao Erjian 《数学年刊B辑(英文版)》1997,18(2):153-166
SPECTRALSEQUENCESOFCOHOMOLOGIESOFSINGULARITIESOFC∞MAPPINGSXIAOERJIANAbstractTwospectralsequencesaredefinedrespectivelyforcoh... 相似文献
4.
Xiaobing Zhang Haifeng Huo Hong Xiang Dungang Li 《Journal of Applied Analysis & Computation》2018,8(4):1061-1084
In this paper, we present the deterministic and stochastic delayed SIQS epidemic models. For the deterministic model, the basic reproductive number $R_{0}$ is given. Moreover, when $R_{0}<1$, the disease-free equilibrium is globally asymptotical stable. When $R_{0}>1$ and additional conditions hold, the endemic equilibrium is globally asymptotical stable. For the stochastic model, a sharp threshold $\overset{\wedge }{R}_{0}$ which determines the extinction or persistence in the mean of the disease is presented. Sufficient conditions for extinction and persistence in the mean of the epidemic are established. Numerical simulations are also conducted in the analytic results. 相似文献
5.
6.
It is an observation due to J. J. Kohn that for a smooth bounded pseudoconvex domain in there exists such that the -Neumann operator on maps (the space of -forms with coefficient functions in -Sobolev space of order ) into itself continuously. We show that this conclusion does not hold without the smoothness assumption by constructing a bounded pseudoconvex domain in , smooth except at one point, whose -Neumann operator is not bounded on for any .
7.
We prove that, in a locally integrable structure, the wave-front set of the trace of a CR function at a point in a totally real submanifold of maximal dimension is independent of the maximally real submanifold passing through the point .
8.
Antonio Aizpuru Francisco Javier Garcia-Pacheco 《Proceedings of the American Mathematical Society》2006,134(7):2109-2115
The aim of this paper is to study the set of all -summand vectors of a real Banach space . We provide a characterization of -summand vectors in smooth real Banach spaces and a general decomposition theorem which shows that every real Banach space can be decomposed as an -sum of a Hilbert space and a Banach space without nontrivial -summand vectors. As a consequence, we generalize some results and we obtain intrinsic characterizations of real Hilbert spaces.
9.
Shutao Chen Yunan Cui Henryk Hudzik 《Proceedings of the American Mathematical Society》2004,132(2):473-480
Criteria in order that an Orlicz space equipped with the Orlicz norm contains a linearly isometric copy (or an order linearly isometric copy) of (or ) are given.
10.
Jorge Galindo 《Mathematische Zeitschrift》2009,263(1):211-220
We prove that the additive group (E*, τ
k
(E)) of an -Banach space E, with the topology τ
k
(E) of uniform convergence on compact subsets of E, is topologically isomorphic to a subgroup of the unitary group of some Hilbert space (is unitarily representable). This is the same as proving that the topological group (E*, τ
k
(E)) is uniformly homeomorphic to a subset of for some κ. As an immediate consequence, preduals of commutative von Neumann algebras or duals of commutative C*-algebras are unitarily representable in the topology of uniform convergence on compact subsets. The unitary representability
of free locally convex spaces (and thus of free Abelian topological groups) on compact spaces, follows as well. The above
facts cannot be extended to noncommutative von Neumann algebras or general Schwartz spaces.
Research partially supported by Spanish Ministry of Science, grant MTM2008-04599/MTM. The foundations of this paper were laid
during the author’s stay at the University of Ottawa supported by a Generalitat Valenciana grant CTESPP/2004/086. 相似文献