积分算子

分数次积分算子在弱Hardy型空间中的有界性

Boundedness of the fractional integral operator in weak type Hardy space

文章主要介绍了由一个积分算子刻划的p叶解析星像函数和p叶解析凸像函数类的新子类，建立了包含关系，并讨论了它们的一些性质。

The paper presents the new subclass of application of certain integral operator to star-like and convex multivalent analytic functions , establishes inclusion relations and discusses their qualities .

A（p）函数类上的积分算子

Integral operators of A ( p ) functions

强奇异积分算子交换子的一个变形sharp函数估计

A Variant Sharp Function Estimate for Commutators of Strongly Singular Integral Operators

本文建立了强奇异积分算子一阶交换子的一个变形sharp函数估计。

In this paper , a variant sharp function estimate is established for commutators of strongly singular integral operators .

Hardy空间上一类带可变核的积分算子

A class of integral operators with variable kernels on Hardy Spaces

从转移概率函数的定义出发，证明了Markov积分算子半群是非退化的。

The non-degenerate of the Markov integrated semigroup is proved according to the definition of transition probability functions .

带可变核的多线性分数次积分算子在弱Hardy空间上的有界性

Boundedness of Multilinear Fractional Integral Operators with Variable Kernels on Weak Type Hardy Spaces

θ（t）型奇异积分算子在各向异性Hardy空间的有界性

Boundedness of θ( t ) - type Singular Integral Operators in the Anisotropic Hardy Space

球面上的Riesz位势型积分算子的L~p（Ωn）和Lipα有界性

The LP (Ω n ) and Lipa Boundedness about the Integration Operator of Riesz Potential Type on Sphere

对于卷积型积分算子，可将运算量由原来的O（N2）减少至O（N）

For convolution integration operator , the computation will be decreased from O ( N 2 ) to O ( N ) .

Fourier积分算子在Herz型空间上的有界性

Boundedness of Fourier Integral Operator on Herz Spaces

首先，对于第一个新的子类S（λ，μ）（m；h），我们讨论了它的一系列的包含关系以及在积分算子的作用下，性质是保持不变的。

First , to the class S_ (λ,μ)( m ; h ), we derive some inclusion relations , and the properties are kepted invariable under the integral operator .

广义Laplace积分算子不等式

Generalized Laplace Integral Operators Inequalities

一类抽象VOLTERRA型线性积分算子

On the Abstract Volterra Linear Integral Operator

分数次积分算子在加权LEBESGUE空间和LIPSCHITZ空间的有界性

Boundedness of the fractional integral on weighted Lebesgue and Lipschitz spaces

本文讨论了混合指合数型积分算子在Lp空间的性质，建立了该类算子的Lp饱和定理。

We study the properties of the mixed exponential type integral operators in Lp-space and established their Lp-saturation theorems .

伴随HERZ空间的HARDY空间上的分数次积分算子

Fractional integrals on Hardy spaces associated with Herz Spaces

Markov积分算子半群的生成元稠定的充分必要条件是q-矩阵Q一致有界；

We obtain that the generator of the Markov integrated semigroup is densely defined in l_ ∞ if and only if q-matrix Q is uniformly bounded .

最后，在序Banach空间给出了增加的压缩积分算子半群的生成定理。

Finally , in an ordered Banach space , a generation theorem is obtained for the increasing integrated semigroup of contractions .

Clifford分析中一类拟Cauchy型积分算子的不动点定理及迭代构造

The Fixed Point Theorem and the Iterative Approximation of Some Class Quasi-Cauchy Integral Operator in Real Clifford Analysis

在齐型空间上定义了一类广义奇异积分算子，证明了该算子的加权Φ有界性，这里Φ是Young函数，同时给出了它的一些应用。

A kind of singular integral operators on homogeneous spaces are defined . The weighted Φ boundedness for the operators are obtained , where Φ is the Young function , and some applications are given .

将一类抽象Volterra型线性积分算子用于求解抽象动力方程边值问题，此方法称为积分算子求解法。

Volterra linear integral operators is studied in order to solve the boundary value problems of abstract kinetic equation .

推广的Libera积分算子对S（α，β）类函数的运算

Calculation of spreading Libera integal operator to s (α, β) function

齐型空间上Herz空间中的分数次积分算子

The fractional integration operator on Herz spaces on spaces of Homogeneous type

介绍了弱Hardy空间及其性质，讨论了广义分数次积分算子交换子在弱Hardy空间上的有界性。

In this paper , the authors introduced the Weak-Hardy space and discussed the boundedness of commutators of generalized fractional integral operators on it .

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。

In this paper , we construct a Fredholm module by using singular integral operators theory with the quaternionic Cauchy kernel and C ~ - algebra theory .

本文研究含有积分算子的二阶拟线性奇摄动微分积分方程式的Dirichlet问题；

This Paper represents the singularly Perturbed Dirichlet problem for the second order quasilinear differential - integral equation with a nonlinear integral operator .

Poisson积分算子是求解Laplace方程边值问题时导出的一种算子，它可以明确地将这些方程的解表达出来。

Poisson integral operator derives from solving boundary value problems of Laplace equations , and it may explicitly express the solutions of these equations by a formula .

首先引入一类新的特殊函数，继之利用它构造了Fourier积分算子，并运用特殊手段导出Cauchy问题的拟基本解。

First we introduced a class of new special function , then Using it we constructed Fourier integral operator and by special means followed the parametices of Cauchy problem .