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Thepaper proves that there is an injective Lipschitz map arphi:(F, d_{S})longrightarrow(H,d),where F is the Thompson's group, d_{S} is the word-metric of F with respect to the finite generating set S...
Finite decomposition complexity m(FDC) is a large scale property of a metricspace. It generalizes finite asymptoticdimension and applies to a wide class of groups. To make the property quantitative, a...
Distortion of subgroups in finitely generated groups is a topical subject in geometric group theory.Thompson's group F has important tools of reduced tree diagrams and reduced forest diagrams. Using t...
The classical Weierstrass theorem states that every continuous function f defined ona compact set K▲Rn can be uniformly approximated by polynomials. In this paper we show firstthat it is again valid i...
In this note, we give first that a characterization of super weakly compact convex sets of a Banach space X, namely, a sufficient and necessary condition for a closed bounded convex set Ksubset X to b...
Some representations for the Drazin inverse of a block matrix , where and are Drazin invertible, in terms of the Drazin inverses of and are developed under the assumptions that and with the generalize...
本文通过引入下半连续凸泛函的次微分和共轭泛函,用临界点理论和算子理论方法,得出了二阶非线性非自治混合型泛函微分方程的多重次调和周期解。
利用重合度理论, 研究一类具有偏差变元的三阶变时滞微分方程x(t)+∑2i=1[aix(i)(t)+bix(i)(t-τi(t))\]+cx(t)+g1(x(t))+g2(x(t-τ3(t)))=e(t)的T周期解问题, 得到了上述方程T周期解存在唯一性的若干结果, 所得结果与方程的3个时滞有关.
Abstract: The functional calculus for normal elements in $C^*$-algebras is an important tool of Analysis. We suggest an approximate substitute for such calculus for elements $a$ with the small self-co...
Abstract: The work develops further the theory of the following inversion problem, which plays the central role in the rapidly developing area of thermoacoustic tomography and has intimate connections...
Abstract: We show in this paper that, if \mu is a regular measure whose support is a Jordan arc or a connected finite union of Jordan arcs in the complex plane \mathbb{C}, then the limits of the eleme...
Abstract: We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear diff...
利用热方程的核, 通过广义函数正则化的方法给出Wilson函数方程在广义函数空间(包括缓增广义函数空间、 傅里叶超函数空间和Gelfand-Shilov广义函数空间)上的Hyers-Ulam稳定性, 并证明了在广义函数空间上Wilson函数方程的稳定性具有与一般函数空间上类似的结果.
Abstract: New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractiona...
Abstract: In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Be...

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