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Hardy spaces, Regularized BMO and the boundedness of Calderón-Zygmund operators on non-homogeneous spaces
non-homogeneous spaces Hardy spaces BMO Calder´ on - Zygmund operator
2010/12/1
One defines a non-homogeneous space (X, μ) as a metric space equipped with a non-doubling measure μ so that the volume of the ball with center x, radius r has an upper bound of the form rn for some n ...
An $E_8$-approach to the moonshine vertex operator algebra
$E_8$-approach moonshine vertex operator algebra
2010/12/13
In this article, we study the moonshine vertex operator algebra starting with the
tensor product of three copies of the vertex operator algebra V + √2E8 , and describe it by
the quadratic space over...
Operator-valued frames are natural generalization of frames that have been used in quantum computing, packets encoding, etc. In this paper, we focus on developing the theory about operator-valued fram...
Fock空间上对偶Toeplitz算子的紧性
Toeplitz Fock空间
2009/11/2
讨论Fock空间上以平方可积函数为符号的对偶Toeplitz算子，并给出其有界性与紧性的等价判别条件.
HardyOrlicz空间之间的加权复合算
加权复合算子 Hardy-Orlicz空间
2009/10/22
该文研究了复平面中单位圆盘上不同Hardy-Orlicz空间之间的加权复合算子,利用Carleson测度不等式给出了有界或紧的加权复合算子ωC_φ:N_p→N_q的特征. 作为推论得到了加权复合算子ωC_φ:N_p→N_q有界(或紧)的充分必要条件是ωC_φ:H_p→H_q是有界(或紧)的. 此外,还给出了Hardy-Orlicz空间上可逆及Fredholm复合算子的特征.
设$b\in L_{\rm loc}({\Bbb R}^n)$,记$L$为包含Littlewood-Paley $g$函数, Lusin 面积积分以及$g_\lambda^*$ 函数在内的Littlewood-Paley算子. 本文证明了交换子$[b,L]$的$L^p$有界性蕴含了$b\in \mathrm{BMO}({\Bbb R}^n)$. 由此作者给出了交换子$[b,L]$~$L^p$有界性...
Keldysh型算子的基本解
混合型方程 Keldysh 算子 基本解 发散积分有限部分
2009/8/31
本文研究Keldysh型算子 $L_{\alpha}u \overset{\Delta}{=} \frac{\partial^2 u}{\partial x^2}+ y\frac{\partial^2 u}{\partial y^2} + \alpha\frac{\partial u}{\partial y}$ --- 与Tricomi算子不同的另一类基本的混合型算子 --- 的基本解.得到了 $...
Littlewood-Paley算子的多线性交换子的加权估计
Littlewood-Paley算子 多线性交换子 sharp函数 Young函数 $Osc_{{\rm exp}L^r}$空间 端点估计
2009/8/31
本文给出了Littlewood-Paley算子的多线性交换子的加权$L^p$估计和深刻的加权端点估计.
On a Certain Subclass of Analytic Functions Involving the Al-Oboudi Differential Operator
Close-to-convex function Close-to-starlike function Ruscheweyh derivative operator Al-Oboudi differential operator and subordination relationship
2010/1/22
In this paper we introduce a new subclass of normalized analytic functions in the open unit disc which is defined by the Al-Oboudi differential operator. A coefficient inequality, extreme points and i...
正则预解算子族的遍历性定理
正则预解算子族 平均遍历 Abel遍历 Cesáro遍历
2008/12/2
研究了正则预解算子族的平均遍历性，Abel遍历性和Cesáro遍历性。并给出了后两种遍历性的相互关系和它们的基本性质。
Some Properties for an Integral Operator Defined by Al-Oboudi Differential Operator
Analytic functions Differential operator
2010/1/22
In this paper, we investigate some properties for an integral operator defined by Al-Oboudi differential operator.
Certain Subclasses of $p-$Valent Meromorphic Functions Involving Certain Operator
Analytic $p-$valent Meromorphic Integral operator
2010/1/22
In this paper, a new subclass of valent meromorphic functions defined by certain integral operator is introduced. Some interesting properties of this class are obtained.
运用四元数Cauchy核奇异积分算子理论和C*代数理论，建立了一个Fredholm模结构.