共查询到20条相似文献,搜索用时 609 毫秒
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讨论在C*-凸理论下C*-代数A的广义态空间SCn(A)中的Krein-Milman型问题.证明了SCn(A)的任意一个BW-紧的C*-凸子集K都具有一个C*-端点,而且K是其C*-端点的C*-凸包. 相似文献
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文中研究了(?)-方程在拟凸域上的积分解算子的性质,得到了(?)-方程在具Ck(k≥0)类边界的拟凸开集上的Cp,qk+α-形式的积分算子解及其解的上确界范数估计,它包含了文[1]仅对C∞的情形 相似文献
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对多层非线性渗流方程耦合系统三维动边值问题, 提出适合并行计算的一类二阶迎风分数步差分格式, 利用区域变换、变分形式、能量方法、隐显格式的相互结合、差分算子乘积交换性、高阶差分算子的分解、先验估计的理论和技巧, 得到收敛性的最佳阶l2 误差估计. 该方法已成功地应用到多层油资源运移聚集的资源评估生产实际中, 得到了很好的数值模拟结果. 相似文献
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We discuss Toeplitz operators on Fock-Sobolev space with positive measure symbols.By FockCarleson measure,we obtain the characterizations for boundedness and compactness of Toeplitz operators.We also give some equivalent conditions of Schatten p-class properties of Toeplitz operators by Berezin transform. 相似文献
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We study the boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from Q_k(p,q)space to weighted α-Bloch space and little weighted α-Bloch space.Some necessary and sufficient conditions for the boundedness and compactness of these operators are given. 相似文献
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He Li & Guangfu Cao 《数学研究通讯:英文版》2016,32(4):303-318
We characterize the boundedness and compactness of weighted composition operators among some Fock-Sobolev spaces. We also estimate the norm and essential norm of these operators. Furthermore, we discuss the duality spaces of FockSobolev spaces F_s~(p,m) when 0 p ∞. 相似文献
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We study linear combinations of composition operators acting on the Fock-Sobolev spaces of several variables. We show that such an operator is bounded only when all the composition operators in the combination are bounded individually. In other words, composition operators on the Fock-Sobolev spaces do not possess the same cancelation properties as composition operators on other well-known function spaces over the unit disk. We also show the analogues for compactness and the membership in the Schatten classes. In particular, compactness and the membership in some/all of the Schatten classes turn out to be the same. 相似文献
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In 2007, T. Hosokawa and S. Ohno gave the sufficient and necessary conditions
of the boundedness and compactness of differences of composition operators
on the Bloch space. On this base, this paper will generalize these conditions of the
boundedness and compactness of differences of composition operators on the Bloch
type space. 相似文献
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讨论了Bergman型空间H(p,μ)到Bers型空间H_β~∞、小Bers型空间H_(β,0)~∞上的加权复合算子,给出了加权复合算子有界性、紧性、弱紧性的充要条件,以及紧复合算子的角导数准则.本文还讨论了具有闭值域的加权复合算子,得到了一个充分条件. 相似文献
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Compactness of Product Operators on the Bergman Space 总被引:2,自引:0,他引:2
Mao Fa WANG Pei De LIU 《数学学报(英文版)》2005,21(4):723-732
In this paper, we study the compactness of the product of a composition operator with another one's adjoint on the Bergman space. Some necessary and sufficient conditions for such operators to be compact are given. 相似文献
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Guangfu Cao & Li He 《数学研究通讯:英文版》2023,39(2):254-286
In this paper, we introduce the work done on Hardy-Sobolev spaces
and Fock-Sobolev spaces and their operators and operator algebras, including the study of boundedness, compactness, Fredholm property, index theory,
spectrum and essential spectrum, norm and essential norm, Schatten-p classes,
and the $C^∗$ algebras generated by them. 相似文献