以非齐性度量测度空间为底空间的Orlicz空间上分数次极大函数的交换子

设$(mathcal{X},d,mu)$是一非齐性度量测度空间,满足Hytonen意义下的几何双倍条件和上部双倍条件. 在此假设下,作者证明了由$binwidetilde{mathrm{RBMO}}(mu)$和分数次极大函数$M^{(alpha)}$生成的交换子$M^{(alpha)}_{b}$ 是从Lebesgue空间$L^{p}(mu)$ 到$L^{q}(mu)$有界的, 其中$frac{1}{q}=frac{1}{p}-alpha$, $alphain(0,1)$. 进一步,交换子$M^{(alpha)}_{b}$ 在Orlicz空间$L^{Phi}(mu)$上得有界性也被得到.     

基于D-dot传感器的弓网离线放电瞬态电场时域测试方法

弓网离线放电电磁辐射具有瞬态、宽频带的特性,可使用D-dot传感器对其进行时域瞬态电场测量,但在对传感器所测微分信号积分还原时,存在信号恢复失真问题严重。搭建了包含脉冲电场发生装置和测量装置的瞬态电场时域波形还原系统,开展了基于D-dot传感器的去直流、数值积分、消除趋势项以及系统辨识低频补偿在内的瞬态电场时域波形测试方法的研究,利用该方法测试了不同电压下弓网离线放电电磁辐射的电场时域波形。理论与实验结果表明：本文所提出的方法能准确、稳定地还原弓网离线放电所辐射瞬态电场的原始时域波形,还原信号与实测微分信号的主要频率分量均在7.5 MHz,二者的相关系数达到93%以上。     

逆极限的不变测度和一致正熵性质

In this paper, the interconnection of some ergodic properties between a continuous selfmap and its inverse limit is studied. It has been proved that (1) their invariant Borel probability measures are identical up to homeomorphism and (2) they preserve uniform positive entropy property simuitaneously. As applications, it is also proved that the upper semi-continu-ous properties of their entropy maps are restricted each other, and the entropy map of the asymptotically h-expansive continuous map is upper semi-contlnuous, at the same time a continuous map having u, p.e. is topological weakmixing.     

Banach空间一阶脉冲微分方程的初值问题

利用单调迭代方法,在Banach空间中研究了更为一般的一阶脉冲微分方程的初值问题的最小最大拟解的存在性及迭代逼近程序.     

定义在分形集上函数的H-导数

分形的生成含有降维与升维两种形式,采用适当的方式总可以对分形集加以定向化,分形的内禀测度是Hausdorff测度。因此,定义在分形集上的函数可以看作是在Hausdorff测度下定义在区间[0, h]。在函数图像也是分形的前提下,依函数的Hausdorff测度的定义,给出了定义在分形集上的函数f(p)关于Hausdorff测度p的导数以及一些性质。     

The Wigner–Yanase information can increase under phase sensitive incoherent operations

We found that the Wigner-Yanase skew information, which has been recently proposed as a measure of coherence in Girolami (2014), can increase under a class of operations which may be interpreted as incoherent following the framework of Baumgratz et al., while being phase sensitive.     

认股权证的等价鞅测度定价模型与数值方法

本文对认股权证应用等价鞅测度方法进行定价 .推导出计算更自然、更简单的类似 Black- Scholes模型的认股权证定价公式 .给出了一种比较好的数值计算方法 .并讨论了认股权证在中国证券市场的发展状况 .     

Remarks on the Balance Relations for the Two-Dimensional Navier–Stokes Equation with Random Forcing

We use the balance relations for the stationary in time solutions of the randomly forced 2D Navier-Stokes equations, found in [10], to study these solutions further. We show that the vorticity ξ(t,x) of a stationary solution has a finite exponential moment, and that for any the expectation of the integral of over the level-set , up to a constant factor equals the expectation of the integral of over the same set.     

Hamel‐isomorphic images of the unit ball

In this article we consider linear isomorphisms over the field of rational numbers between the linear spaces ?² and ?. We prove that if f is such an isomorphism, then the image by f of the unit disk is a strictly nonmeasurable subset of the real line, which has different properties than classical non‐measurable subsets of reals. We shall also consider the question whether all images of bounded measurable subsets of the plane via a such mapping are non‐measurable (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Young measure solutions of some nonlinear mixed‐type equations

This contribution deals with measure‐valued solutions to two types of nonlinear partial differential equations for which, in general, the results on the existence of classical or weak solutions fail. These are the potential equation for transonic flow and the associated unsteady problem (forward–backward diffusion equation). The solutions are constructed by an iteration scheme (Katchanov method) and additional time discretization (Rothe method) in the second case. The existence is proved in the sense of spatial gradient Young measures. Copyright © 2010 John Wiley & Sons, Ltd.