对称Fock空间上的加权复合算子

本文研究了可分Hilbert空间上的对称Fock空间上有界(线性和反线性)加权复合算子. 完全刻画了酉加权复合算子和自伴加权复合算子, 并考虑了一类正规加权复合算子.     

基于隶属度与非隶属度交叉影响的直觉模糊集运算法则及其应用

考虑到不同直觉模糊集的隶属度与非隶属度之间可能存在着某些关联和相互影响,本文提出了直觉模糊集上的改进的加法运算、数乘运算、乘积运算和幂运算.在这些运算的基础上,我们重新给出了直觉模糊加权算术平均算子、直觉模糊有序加权算术平均算子、直觉模糊加权几何平均算子和直觉模糊有序加权几何平均算子的表达式,并研究了他们的一些性质.最后通过实例,说明了新的集成算子在决策应用中的有效性.     

加权Dirichlet空间上加权复合算子的Fredholm性

本文给出了加权Dirichlet空间D_β上有界Fredholm加权复合算子的刻画,作为推论分别给出了D_β上加权复合算子是有界可逆的和酉算子的刻画.     

单位球中解析函数Hilbert空间上的加权复合算子的伴随及其应用

主要给出了具有再生核的解析函数Hilbert空间中由任意ψ及Ψ所导出的加权复合算子的对偶算子的一般公式.在此基础上,得到了由一些特殊函数所导出的加权复合算子Cψ,Ψ.的对偶算子的更优美结果.最后还给出了加权Bergman空间中CCψ,Ψ自伴的充要条件.     

单位球上加权Bergman空间上加权复合算子的本性范数

本文给出了单位球上加权Bergman空间上的加权复合算子的本性范数,并刻画了这类加权复合算子的有界性和紧性.     

关于多元Baskakov算子的加权逼近

本文首先指出一类多元Ｂａｓｋａｋｏｖ算子在通常的加权范数下是无界的．然后给出了一类新的加权范数,在此范数下它是压缩的．最后利用多元分解技巧,解决了多元Ｂａｓｋａｋｏｖ算子加权逼近的特征刻划文问题．     

加权Morrey-Herz空间上的广义Hausdorff算子

引入了一种新的广义Hausdorff算子.它包括了许多著名的算子作为其特殊情形.我们得到了这些算子在加权Morrey-Herz空间上有界的充分必要条件,还得到了相应的新的算子范数不等式.它们是许多著名结果有意义的改进和推广.     

加权 N 移位算子的约化子空间格和不变子空间格

本文对有限加权 N 移位算子的约化子空间格和不变子空间格给出了具体的构造.进而,我们给出了几个判断有限加权 N 移位算子为不可约算子的充分条件.     

基于交叉影响的IFWGA算子及其在多属性决策中的应用

不同直觉模糊数在信息集结过程中,其隶属度与非隶属度之间可能存在着相互影响.提出了直觉模糊数上的改进的乘法运算和幂运算,重新给出了直觉模糊加权几何平均算子和直觉模糊有序加权几何平均算子的表达式,并研究了他们的一些性质.最后通过实例说明了新的IFWGA集成算子在多属性决策中的应用是可行和有效的.     

HardyOrlicz空间之间的加权复合算

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.     

Continuous interval-valued intuitionistic fuzzy aggregation operators and their applications to group decision making

In this paper, we introduce a new operator called the continuous interval-valued intuitionistic fuzzy ordered weighted averaging (C-IVIFOWA) operator for aggregating the interval-valued intuitionistic fuzzy values. It combines the intuitionistic fuzzy ordered weighted averaging (IFOWA) operator and the continuous ordered weighted averaging (C-OWA) operator by a controlling parameter, which can be employed to diminish fuzziness and improve the accuracy of decision making. We further apply the C-IVIFOWA operator to the aggregation of multiple interval-valued intuitionistic fuzzy values and obtain a wide range of aggregation operators including the weighted C-IVIFOWA (WC-IVIFOWA) operator, the ordered weighted (OWC-IVIFOWA) operator and the combined C-IVIFOWA (CC-IVIFOWA) operator. Some desirable properties of these operators are investigated. And finally, we give a numerical example to illustrate the applications of these operators to group decision making under interval-valued intuitionistic fuzzy environment.     

H~∞上加权复合算子与微分算子的乘积(英文)

本文研究了加权复合算子与微分算了的乘积.利用复函数理论,得到了H~∞上加权复合算子与微分算了乘积的有界性及紧性刻画.     

鞅的加权Φ-不等式

本文研究了鞅空间的极大算子和极小算子,利用鞅方法,得到了关于鞅的强型和弱型加权Φ-不等式的一个必要条件.     

Aluthge transforms of unbounded weighted composition operators in L2-spaces

We describe the Aluthge transform of an unbounded weighted composition operator acting in an L²-space. We show that its closure is also a weighted composition operator with the same symbol and a modified weight function. We investigate its dense definiteness. We characterize p-hyponormality of unbounded weighted composition operators and provide results on how it is affected by the Aluthge transformation. We show that the only fixed points of the Aluthge transformation on weighted composition operators are quasinormal ones.     

Generalized Weighted Composition Operators on Weighted Bergman Spaces

The boundedness and compactness of the generalized weighted composition operator on weighted Bergman spaces are discussed.     

解析函数空间上的自伴加权复合算子

通过再生核函数刻画了Hardy空间,Bergman空间上自伴加权复合算子以及自伴等距加权复合算子,最后研究了单位球上的分式线性自同构,得到了一个充分条件。     

多线性Calder\''on-Zygmund算子的加权弱型端点估计及其应用

A weighted weak type endpoint estimate is established for the m-linear operator with Calderón-Zygmund kernel, which was introduced by Coifman and Meyer. As applications, the mapping properties on weighted L^p1（Rn）×···×L^pm（Rn） with weight MBw for certain maximal operator MB and general weight w, and a two-weight weighted norm estimate for this operator, are obtained.     

A characterization of bilateral operator weighted shifts being Cowen-Douglas operators

It is characterized when a bilateral operator weighted shift is a Cowen-Douglas operator.

     

A Weighted Weak Type Endpoint Estimate for the Multilinear Calderón-Zygmund Operators and Its Applications

A weighted weak type endpoint estimate is established for the m-linear operator with Calderón-Zygmund kernel,which was introduced by Coifman and Meyer.As applications,the mapping properties on weighted L~(P1)(R~n)×…×L~(Pm)(R~n)with weight MBω for certain maximal operator MB and general weight ω,and a two-weight weighted norm estimate for this operator,are obtained.     

Distance measures with heavy aggregation operators

The use of distance measures and heavy aggregations in the ordered weighted averaging (OWA) operator is studied. We present the heavy ordered weighted averaging distance (HOWAD) operator. It is a new aggregation operator that provides a parameterized family of aggregation operators between the minimum distance and the total distance operator. Thus, it permits to analyze an aggregation from its usual average (normalized distance) to the sum of all distances available in the aggregation process. We analyze some of its main properties and particular cases such as the normalized Hamming distance, the weighted Hamming distance and the OWA distance (OWAD) operator. This approach is generalized by using quasi-arithmetic means obtaining the quasi-arithmetic HOWAD (Quasi-HOWAD) operator and with norms obtaining the heavy OWA norm (HOWAN). Further extensions to this approach are presented by using moving averages forming the moving HOWAD (HOWMAD) and the moving Quasi-HOWAN (Quasi-HOWMAN) operator. The applicability of the new approach is studied in a decision making model regarding the selection of national policies. We focus on the selection of monetary policies. The key advantage of this approach is that we can consider several sources of information that are independent between them.