共查询到20条相似文献,搜索用时 15 毫秒
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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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Erno Saukko 《Journal of Mathematical Analysis and Applications》2011,381(2):789-798
We obtain estimates for the norm and essential norm of the difference of two composition operators between certain Bergman spaces. In particular, a necessary and sufficient condition for boundedness and compactness of the operator is established. Finally, we give a sufficient condition for boundedness and compactness of the difference operator between Hardy spaces. 相似文献
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In this paper,we study the boundedness and estimate the essential norm of the differences of weighted composition operators from mixed-norm spaces to weighted-type spaces on the unit ball of CN. 相似文献
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设φ(z)=(φ_1(z),…,φ_n(z))是D~n到自身的一个全纯映射,Ψ(z)是D~n上的全纯函数,其中D~n是C~n中的单位多圆柱.本文研究了Bloch空间上加权复合算子ΨC_φ的本性范数. 相似文献
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In this note, we characterize the boundedness of the Volterra type operator T g and its related integral operator I g on analytic Morrey spaces. Furthermore, the norm and essential norm of those operators are given. As a corollary, we get the compactness of those operators. 相似文献
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§ 1.Introduction LetBnbetheunitballinCn,anddvthenormalizedLebesguemeasureonBn.SobolevspaceL2 ,1isthespaceoffunctionsu :Bn→C ,forwhichthenorm‖u‖1/ 2 =∑ni=1 ∫Bn u zi(z) 2 + u zi(z) 2 dν1/ 2 <∞ .L2 ,1/ 2 isaHilbertspacewiththeinnerproduct〈u ,v〉1/ 2 =∑ni=1〈 u zi, u zi〉L2 (dν) +∑ni=1〈 u zi, u … 相似文献
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《Mathematische Nachrichten》2018,291(11-12):1629-1654
Jordan operator algebras are norm‐closed spaces of operators on a Hilbert space which are closed under the Jordan product. The discovery of the present paper is that there exists a huge and tractable theory of possibly nonselfadjoint Jordan operator algebras; they are far more similar to associative operator algebras than was suspected. We initiate the theory of such algebras. 相似文献
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本文研究H∞和Bergman空间之间加权复合算子uCφ的有界性或紧性,利用泛函分析及复分析的方法,获得了uCφ是有界算子或紧算子的充要条件在H∞和Bergman空间之间的范数估计,推广了各类解析函数空间上加权复合算子的相应理论. 相似文献
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Let ψ be a holomorphic function on the open unit disk D and φ a holomorphic self-map of D. Let Cφ,Mψ and D denote the composition, multiplication and differentiation operator, respectively. We find an asymptotic expression for the essential norm of products of these operators on weighted Bergman spaces on the unit disk. This paper is a continuation of our recent paper concerning the boundedness of these operators on weighted Bergman spaces. 相似文献
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Tang Xiaomin 《高校应用数学学报(英文版)》2007,22(1):61-68
This paper characterizes the boundedness and compactness of weighted composition operators between Bers-type space (or little Bers-type space) and Bergman space. Some estimates for the norm of weighted composition operators between those spaces are obtained. 相似文献
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Let Mφ be the operator of multiplication by φ on a Hilbert space of functions analytic on the open unit disk. For an invariant subspace F for the multiplication operator Mz, we derive some spectral properties of the multiplication operator Mφ : F → F. We characterize norm, spectrum, essential norm and essential spectrum of such operators when F has the codimension n property with n ∈ {1, 2, …, + ∞}. 相似文献
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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. 相似文献
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Sergio Arturo Celani 《Mathematical Logic Quarterly》1999,45(2):207-218
In this note we introduce and study algebras (L, V, Λ, ?, 0,1) of type (2, 2,1,1,1) such that (L, V, ?, 0,1) is a bounded distributive lattice and ? is an operator that satisfies the condition ? (a V b) = a ? b and ? 0 = 1. We develop the topological duality between these algebras and Priestley spaces with a relation. In addition, we characterize the congruences and the subalgebras of such an algebra. As an application, we will determine the Priestley spaces of quasi-Stone algebras. 相似文献
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《复变函数与椭圆型方程》2012,57(12):845-850
In this paper, we express the essential norm of a composition operator on Bergman spaces of the unit ball in terms of an asymptotic upper bound of a quantity involving the pull-back measure induced by the inducing map. The result could be generalized to convex domains of finite type and to the weighted situation. 相似文献
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Various BMO-type characteristics are given for some class of holomorphic functions with a mixed norm. Some criteria are established for Blaschke products to belong to analytic Besov spaces. 相似文献
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Dansheng Yu Hangzhou Teacher''''s College China Songping Zhou Zhejiang Sci-Tech University China 《分析论及其应用》2005,(3)
The present paper gives a Jackson type estimate for Nevai operators under weighted Lp norm, and establishes the direct and converse theorems in some proper Besov spaces. 相似文献