On the Smallest Base of the Stone Space

51.IntroductionandDefinitionIn[l]ithadbeenprovedthat:ifadistributivelatticeLpossessesthesmal1estsetofgen-eratingelements,thenLsatisfiesjointinfinitelydistributivelaw.AndinL2jproved:acom-pletelydistributivelatticepossessesminimalsetofgeneratingelements,thenLisastrongalge-bra.lnthispaper,theconceptofthesetofgeneraingelementsisdifferentfrom[1j.Wewillsolvetheexistenceproblemoftheminimalsetofgeneratingelementsbyuseofthetopologicalrepresentation.Firstwedefinethesmallestbase,strongopensetinthetopol…     

Besov Functions and Tangent Space to the Integrable Teichmüller Space

The authors identify the function space which is the tangent space to the integrable Teichm¨uller space. By means of quasiconformal deformation and an operator induced by a Zygmund function, several characterizations of this function space are obtained.     

Determinant Bundle Over the Universal Moduli Space of Principal Bundles Over the Teichmüller Space

For a Riemann surface X and the moduli of regularly stable G-bundles M, there is a naturally occuring “adjoint” vector bundle over X × M. One can take the determinant of this vector bundle with respect to the projection map onto M. Our aim here is to study the curvature of the determinant bundle as the conformal structure on X varies over the Teichmüller space.     

On the Quaternion Ball and the Quaternion Projective Space

Since the quaternion ball was used to study the AdS/CFT problems tor spinor fields, it is worthwhile to study further the geometry （in sense of Klein） and analysis on it and on its extended space （in the sense of Behnke-Thullen）, the quaternion projective space.     

μ-Average n-Widths on the Wiener Space

In this paper we consider the μ-average widths of integral operator T^m on the Wiener space C. Some weakly asymptotically exact estimates for the Gelfand width and other widths are obtained.     

The Moduli Space of Points in the Boundary of Complex Hyperbolic Space

We consider the space M(n,m)\mathcal{M}(n,m) of ordered m-tuples of distinct points in the boundary of complex hyperbolic n-space, H_\mathbbCⁿ\mathbf{H}_{\mathbb{C}}^{n}, up to its holomorphic isometry group PU(n,1). An important problem in complex hyperbolic geometry is to construct and describe the moduli space for M(n,m)\mathcal{M}(n,m). In particular, this is motivated by the study of the deformation space of complex hyperbolic groups generated by loxodromic elements. In the present paper, we give the complete solution to this problem.     

On the Number of Vedernikov–Ein Irreducible Components of the Moduli Space of Stable Rank 2 Bundles on the Projective Space

We propose a method for finding the exact number of Vedernikov–Ein irreducible components of the first and second types in the moduli space M(0, n) of stable rank 2 bundles on the projective space P³ with Chern classes c₁ = 0 and c₂ = n ≥ 1. We give formulas for the number of Vedernikov–Ein components and find a criterion for their existence for arbitrary n ≥ 1.     

Bounded Hankel Products on the Weighted Bergman Space

1 Introduetion The Bergman spaeeA足15 the spaee of analytie funetions on a plane domain D whieh are square integrable with resPeet to the measure dA。(:)=(a 1)(1一l:I“)“己且(之)，where dA denotes the normalized Lebesgue area measure on D.The reProdueing kernel in A蕊15 given妙K1a)(:) 1 (1一场:)2 a之，叨任D. If(·，·)。denotes the inner produet in LZ(D，dA。)，then (。，K;a))。=人(二) h oA蕊，二。D. The orthogonal projeetion凡of LZ(D，dA。)ontoA且15 given by‘Pa。)(?卜(。，玲，)一…     

k-order Slant Toeplitz Operators on the Bergman Space

In this paper κ-order slant Toeplitz operator on the Bergman space is defined. Some properties like spectrum, commuting are discussed.     

Some Notes About the Cardinals of Metric Space

Theorem 1 Let X be a nonempty countable set, K={: is a discrete metric space}, define ≌ iff((?)f) (f is an equilong isomorphism from to , for a given ∈K, define = { ∈K: ≌}. Let C={: ∈K},then |C|=|K|=|{d:d is a metric on X}|=2~((?)0) The Theorem 2 illustrates that there exists a nonempty countable set X on which we can define 2~((?)0) nondiscrete metric spaces such that they are not isomorphic each other.     

Compactness of Product Operators on the Bergman Space

In this paper, we study the compactness of the product of a composition operator with another one＇s adjoint on the Bergman space. Some necessary and sufficient conditions for such operators to be compact are given.     

The Compact Characterhations of the Operator H_fH_g on the Bergman Space

ＴｈｅＣｏｍｐａｃｔＣｈａｒａｃｔｅｒｈａｔｉｏｎｓｏｆｔｈｅＯｐｅｒａｔｏｒＨ＿ｆＨ＿ｇｏｎｔｈｅＢｅｒｇｍａｎＳｐａｃｅＧｕｏＫｕｎｙｕ（郭坤宇)（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｉｃｈｕａｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈｅｎｇｄｕ?..     

On the Distribution of the Cardinality of Row Space for Boolean Matrices

ＯｎｔｈｅＤｉｓｔｒｉｂｕｔｉｏｎｏｆｔｈｅＣａｒｄｉｎａｌｉｔｙｏｆＲｏｗＳｐａｃｅｆｏｒＢｏｏｌｅａｎＭａｔｒｉｃｅｓＬｉＷｅｎ（黎稳）；ＺｈａｎｇＭａｏｃｈｅｎｇ（张谋成）ａｎｄＨｏｎｇＳｈａｏｆａｎｇ（洪绍芳）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔ...     

Ring-like Space Constructed from Group-like Space

The ring-like space introduced in[1] is more extensive than the topological ring in view of the definition. But, in face, it has not been shown whether the ring-like space is really more extensive than the topological ring. In our study, we first investigate a method of constructing a ring-like space from a group-like space. Then, using this method, ws construct a ring-like space which is not a topological ring.     

Completeness of the Metric Space Induced by Finite Measur

ＣｏｍｐｌｅｔｅｎｅｓｓｏｆｔｈｅＭｅｔｒｉｃＳｐａｃｅＩｎｄｕｃｅｄｂｙＦｉｎｉｔｅＭｅａｓｕｒＹｕＪｉａｎｌｉ；（禹建丽）ＪｉｎＪｉａｑｉ；（金家琦）ＷａｎｇＷｅｉ（（王伟）（ＬｕｏｇａｎｇＩｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇｙ）（Ｋａｉｆｅ...     

On the Supports of Super-Brownian Motion on Hyperbolic Space

（唐加山）ＯｎｔｈｅＳｕｐｐｏｒｔｓｏｆＳｕｐｅｒ－ＢｒｏｗｎｉａｎＭｏｔｉｏｎｏｎＨｙｐｅｒｂｏｌｉｃＳｐａｃｅ￥ＴａｎｇＪｉａｓｈａｎ（Ｉｎｓｔ．ｏｆＭａｔｈ．，ＳｈａｎｔｏｕＵｎｉｖ．，Ｓｈａｎｔｏｕ，Ｇｕａｎｇｄｏｎｇ，５１５０６５；Ｄｅｐｔ...     

Remarks on the Veronese Generating Submanifolds in Minkoski Space

ＲｅｍａｒｋｓｏｎｔｈｅＶｅｒｏｎｅｓｅＧｅｎｅｒａｔｉｎｇＳｕｂｍａｎｉｆｏｌｄｓｉｎＭｉｎｋｏｓｋｉＳｐａｃｅＨｕＣｏｎｇｅ（胡聪娥）（ＨｅｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｋａｉｆｅｎｇ，４７５００１）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅｒ，ｔｈｅ...     

A Note on the BMO Space with Non-doubling Measure

Let μi be a positive Radon measure which only satisfies an appropriate growth condition, and RBMO(μ) be the BMO space associated with μ which was introduced by Tolsa. In this paper, it is proved that the definition of RBMO(ρ) can be weakened sufficiently.     

On the Convergence Rate of a Space Decomposition Method

Domain decomposition method and multigrid method can be unified in the framework of the space decomposition method. This paper has obtained a new result on the convergence rate of the space decomposition method, which can be applied to some nonuniformly elliptic problems.