THE EQUIVALENT CHARACTERIZATION OF F(p,q,s)SPACE ON BOUNDED SYMMETRIC DOMAINS OF Cn

LetΩ be a bounded symmetric domain in Cn. The purpose of this article is to define and characterize the general function space F（p, q, s） on Ω. Characterizing functions in the F（p, q, s） space is a work of considerable interest nowadays. In this article, the authors give several equivalent descriptions of the functions in the F（p, q, s） space on Ω in terms of fractional differential operators. At the same time, the authors give the relationship between F（p, q, s） space and Bloch type space on Ω too.

Design and Development of Impeller Synergic Systems of Electromagnetic Type to Levitation/Suspension Flight of Symmetrical Bodies

Using certain models of twistor surfaces for fields of force and the mathematical relationships that lie among fields, lines, surfaces and flows of energy, it has been designed and developed a flight electromagnetic type system based on the synergic study of their electromagnetic field geodesics to generate vehicle levitation, suspension and movement without being in contact with the surface. The idea of such work is to obtain a new flight and impulse patent of an electromagnetic vehicle by principles of super-conduction and some laws of the current like Eddy currents and principles which are very similar to mechanics of sidereal objects like galaxies or stars under models of twistor surfaces. This vehicle will be controlled by one microchip that will be programmed by conscience operators algebra of electromagnetic type that leads to the flow of Eddy currents, the iso-rotations and suspension of the special geometrical characteristics vehicle, generating also on the vehicle structure certain “magnetic conscience” that provokes all movements like succeeding to the sidereal objects in the universe.

Compactness of Composition Operators from the p-Bloch Space to the q-Bloch Space on the Classical Bounded Symmetric Domains

In this paper, we introduce the weighted Bloch spaces on the first type of classical bounded symmetric domains , and prove the equivalence of the norms and . Furthermore, we study the compactness of composition operator from to , and obtain a sufficient and necessary condition for to be compact.

Some Estimates for the Fourier Transform on Rank 1 Symmetric Spaces

Two estimates useful in applications are proved for the Fourier transform in the space L^2(X), where X a symmetric space, as applied to some classes of functions characterized by a generalized modulus of continuity.

ANTICIPATING QUADRANT AND SYMMETRIC INTEGRALS IN THE PLANE WITH APPLICATION TO WIENER SPACE

We introduce anticipating quadrant and symmetric integrals in the plane, and establish the associated chain rules which are the same as the deterministic ones. In particular, we deduce the relation between quadrant integrals, symmetric integral, and Skorohod integral with respect to two-parameter Wiener processes.

A wideband fast multipole boundary element method for half-space/plane-symmetric acoustic wave problems

This paper presents a novel wideband fast multipole boundary element approach to 3D half-space/planesymmetric acoustic wave problems.The half-space fundamental solution is employed in the boundary integral equations so that the tree structure required in the fast multipole algorithm is constructed for the boundary elements in the real domain only.Moreover,a set of symmetric relations between the multipole expansion coefficients of the real and image domains are derived,and the half-space fundamental solution is modified for the purpose of applying such relations to avoid calculating,translating and saving the multipole/local expansion coefficients of the image domain.The wideband adaptive multilevel fast multipole algorithm associated with the iterative solver GMRES is employed so that the present method is accurate and efficient for both lowand high-frequency acoustic wave problems.As for exterior acoustic problems,the Burton-Miller method is adopted to tackle the fictitious eigenfrequency problem involved in the conventional boundary integral equation method.Details on the implementation of the present method are described,and numerical examples are given to demonstrate its accuracy and efficiency.

OUTER OPERATORS FOR THE NONCOMMUTATIVE SYMMETRIC HARDY SPACES ASSOCIATED WITH FINITE SUBDIAGONAL ALGEBRA

In this article, we extended main results on outer operators of [6] to the symmetric Hardy spaces, when associated subdiagonal algebra is finite.

COMPACT COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES ON BOUNDED SYMMETRIC DOMAINS

In this article, we borrow the idea of using Schur＇s test to characterize the compactness of composition operators on the weighted Bergman spaces in a bounded symmetricdomain Ω and verify that Cφ is compact on Lqa（Ω,dvβ）if and only if K（φ（z）,φ（z））/K（z,z）→0 as z→ Ω under a mild condition,where K（z,w）is the Bergman kernel.

Existence Theorem of the Multipliers on Riemannian Symmetric Space SL(3,H)/SP(3)

Using the method of Clerc and Stein study the multipliers of spherical Fourier transform on symmetric space to proof the multipliers theory for the space SL(3,H)/SP(3), completely avoid the complex theory of Anker, and we have gain the same result. Key words Riemannian symmetric space SL(3,H)/SP(3) - multipliers - spherical Fourier transform - invariant differential operator CLC number O 152.5 - O 186.12 Biography: LIAN Bao-sheng (1973-), male, Master, research direction: Li group and Lie algebra.

Fixed Point Theorems in Cone Symmetric Spaces

In this paper, some common fixed point theorems for general occasionally weakly compatible selfmaps and non-selfmaps on cone symmetric spaces were proved. The interesting point of this paper is that we do not assume that the cone is solid. Our results generalize and complete the corresponding results in [9-15].

A Model for a Spherically Symmetric Space Generated by a Spherical Gravitational Source and a Gravitational Medium with Constant Mass Density

A metric on a spherically symmetric space generated by a spherical source of gravity and filled with a gravitational medium is constructed, and criteria for the continuity of this metric on the entire space (which is equivalent to the absence of black holes) are found. Properties of radial geodesics under various constraints on the size of the gravitational source, its mass, and the mass density of the gravitational medium are studied.

Ricci Collineations of Static Space Times with Maximal Symmetric Transverse Spaces

有最大的对称的横向的空格的静态的空间时间的一个完全的分类被提供，根据他们的 Ricci 关口线条。当 Ricci 关口线条向量地 V 的一个部件是非零时，分类被做(盒子 1 ～ 4 ) ， V 的二个部件是非零(盒子 5 ～ 10 ) ，并且 V 的三个部件是非零(盒子 11 ～ 14 ) respectivily。两非退化(detR_(ab ) ≠ 0 ) 象一样退化(detR_(ab )= 0 ) 盒子被讨论，一些新度量标准被发现。

Ricci Symmetries of Static Space-Times with Maximal Symmetric Transverse Spaces

在纸[M。Akbar 和 R.G 蔡， Commun。Theor。Phys。45 (2006 ) 95 ] ，一个完全的分类提供向量地 V 的至少一个部件是零。在这篇论文，我与所有非零部件认为向量地是 V，有最大的对称的横向的空格的静态的空间时间根据他们的 Ricci 关口线条被分类。这些为非退化的 Ricci 张肌 det R ≠ 被调查0。结果唯一的关口线条由这些承认空格能是十，七，六或四。它也作为一个空间案例盖住我们的以前的结果。承认合适的 Ricci 关口线条的一些新度量标准也被调查。

SPHERICAL SYMMETRIC SOLUTIONS FOR THE MOTION OF RELATIVISTIC MEMBRANES AND NULL MEMBRANES IN THE REISSNER-NORDSTRM SPACE-TIME

In this article, we concern the motion of relativistic membranes and null mem- branes in the Reissner-Nordstrom space-time. The equation of relativistic membranes moving in the Reissner-Nordstrom space-time is derived and some properties are discussed. Spherical symmetric solutions for the motion are illustrated and some interesting physical phenomena are discovered. The equations of the null membranes are derived and the exact solutions are also given. Spherical symmetric solutions for null membranes are just the two horizons of Reissner-NordstrSm space-time.

Chen’s Inequalities for Submanifolds in (<i>&kgreen;, &#181</i>)-Contact Space Form with a Semi-Symmetric Non-Metric Connection

In this paper, we obtain Chen’s inequalities in (k,?μ)-contact space form with a semi-symmetric non-metric connection. Also we obtain the inequalites for Ricci and K-Ricci curvatures.

Common Fixed Point Results for Occasionally Weakly Compatible Maps in G-Symmetric Spaces

The notion of a G-symmetric space is introduced and the common fixed points for some pairs of occasionally weakly compatible maps satisfying some contractive conditions in a G-symmetric space are proved. The results extend and improve some results in literature.

空间位置矫正的稀疏特征图像分类网络

为稀疏语义并加强对重点特征的关注,增强空间位置和局部特征的关联性,对特征空间位置进行约束,本文提出空间位置矫正的稀疏特征图像分类网络(SSCNet)。该网络以ResNet-34残差网络为基础,首先,提出稀疏语义强化特征模块(SSEF),SSEF模块将深度可分离卷积(DSC)和SE相融合,在稀疏语义的同时增强特征提取能力,并能够保持空间信息的完整性;然后,提出空间位置矫正对称注意力机制(SPCS),SPCS将对称全局坐标注意力机制加到网络特定位置中,能够加强特征之间的空间关系,对特征的空间位置进行约束和矫正,从而增强网路对全局细节特征的感知能力;最后,提出平均池化残差模块(APM),并将APM应用到网络的每个残差分支中,使网络能够更有效地捕捉全局特征信息,增强特征的平移不变性,延缓网络过拟合,提高网络的泛化能力。在多个数据集中,SSCNet相比于其它高性能网络在分类准确率上均有不同程度的提升,证明了其在兼顾全局信息的同时,能够更好地提取局部细节信息,具有较高的分类准确率和较强的泛化性能。

对称度量空间上的一个注记

本注记证明了一个具有度量型性质的对称度量空间是一个半度量空间,从而正面回答了Arandelovic和Keckic提出的一个公开问题。

一种非对称特性约束的碰撞振动系统的动力学分析

该文研究了一种具有非对称约束的单自由度非对称碰撞振动系统。在对系统进行无量纲化建模处理后分析了系统的n-1-1周期运动的存在条件。在此基础之上推导了系统在n-1-1周期运动的情况下的Jacobi矩阵,利用参数状态空间联合仿真的方法分析了系统在参数平面(ω,δ)下系统的转迁规律以及变化参数ω时的动力学行为。提出了一种参数空间变化下探索吸引子共存现象的新方法,并分析了系统在状态空间下吸引子的演化趋势。