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The Discontinuous Riemann-Hilbert problem for analytic functions in multiply connected domains
Discontinuous Riemann-Hilbert problems analytic functions A priori estimates and existence of solutions
2014/9/26
In [2], the authors introduce the Keldych-Sedov formula for analytic
functions in the upper half-plane, namely the representation of solutions of the mixed
boundary value problem for analytic functi...
一个非齐次核逆向的Hilbert型积分不等式
Hilbert型积分不等式 独立参量 权函数
2012/11/13
通过引入一个独立参量及Beta函数, 应用实分析的方法估算权函数, 建立了一个全平面上具有最佳常数因子的非齐次核逆向的Hilbert型积分不等式, 并给出了它的具有最佳常数因子的等价形式。
Hilbert series of PI relatively free G-graded algebras are rational functions
free G-graded algebras rational functions
2010/11/19
Let G be a finite group, (g_{1},...,g_{r}) an (unordered) r-tuple of G^{(r)} and x_{i,g_i}'s variables that correspond to the g_i's, i=1,...,r. Let F be the corresponding free...
On 1-point Gromov-Witten invariants of the Hilbert schemes of points on surfaces
Hilbert schemes projective surfaces Gromov-Witten invariants
2010/3/1
We compute certain 1-point genus-0 Gromov-Witten invariants of the Hilbert scheme of points on a simply-connected smooth projective surface.
On a Decomposition of Hilbert's Inequality
Hilbert's inequality Weight coefficient Equivalent form Hilbert-type inequality
2010/1/22
By using the Euler-Maclaurin's summation formula and the weight coefficient, a pair of new inequalities is given, which is a decomposition of Hilbert's inequality. The equivalent forms and the extende...
参量化的Hardy-Hilbert型积分不等式的改进
Hardy-Hilbert型积分不等式 Holder不等式 权函数 &beta 函数
2012/11/20
利用改进了的Holder不等式对带参数的Hardy-Hilbert型积分不等式作了进一步的改进，建立了一些新的不等式.
An Elementary Proof of Komlos-Révész Theorem in Hilbert Spaces
Convergence Hilbert space Komlos Révész
2009/2/5
We provide an elementary proof of Komlos-Révész theorem in Hilbert spaces.
给出了Orlicz范数下的Hardy-Hilbert不等式的一种形式, 建立了当N-函数$M(u)$及其余N-函数$N(u)$均满足$\triangle^{\prime}$条件时Orlicz范数下的积分型及双级数型Hardy-Hilbert不等式.
A Relation to Hilbert's Integral Inequality and Some Base Hilbert-type Inequalities
Base Hilbert-type integral inequality Parameter Weight function
2010/1/25
In this paper, by using the way of weight function and real analysis techniques, a new integral inequality with some parameters and a best constant factor is given, which is a relation to Hilbert's in...
本文主要讨论Ｍ－连续格到Ｈｉｌｂｅｒｔ方体的嵌入问题．我们建立了Ｍ－连续格的次直积表示理论，推广并统一了Ｒａｎｅｙ，Ｂｒｕｎｓ，Ｌａｗｓｏｎ，Ｂａｎｄｅｌｔ和Ｅｒｎｅ等人的相应工作．Ｒｅｎａｙ与Ｂｒｕｎｓ的经典方法是建立在对相应的弱辅助关系的极大完备链作深入分析之上的，富于技巧性，且有局限性．与之相比，本文所使用的方体则相当朴素而自然，但却能处理更为广泛的情形．
多个复变量和多个未知函数的超定椭圆组的Riemann-Hilbert问题
2007/12/11
本文考虑了一阶非线性超定组的Riemann-Hilbert问题.利用Schwartz积分公式和不动点原理,我们证明了变态问题在一定的条件下是可解的.