Results 11 to 20 of about 205 (147)
Commuting dual Toeplitz operators with pluriharmonic symbols [PDF]
Journal of Mathematical Analysis and Applications, 2005 Let \(L_a^2(B_n)\) be the Bergman space on the unit ball \(B_n\) of complex \(n\)-space. Let \(P\) be the Hilbert space orthogonal projection from \(L^2(B_n)\) onto \(L_a^2(B_n)\). Given a symbol function \(f\in L^\infty(B_n)\), the Toeplitz operator \(T_f\) is defined by \(T_fg=P(fg)\) for \(g\in L^2_a(B_n)\).
Yufeng Lu
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Commuting of block dual Toeplitz operators [PDF]
Operators and Matrices, 2014 In this paper, we characterize the commuting (semi-commuting) and the essentially commuting (semi-commuting) of block dual Toeplitz operators. Mathematics subject classification (2010): 47B35, 47B47.
Bo Zhang, Yufeng Lu
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Bergman spaces with exponential type weights [PDF]
Journal of Inequalities and Applications, 2021 For 1 ≤ p < ∞ $1\le ...
Hicham Arroussi
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Invertibility, Fredholmness and kernels of dual truncated Toeplitz operators [PDF]
Banach Journal of Mathematical Analysis, 2020 AbstractAsymmetric dual truncated Toeplitz operators acting between the orthogonal complements of two (eventually different) model spaces are introduced and studied. They are shown to be equivalent after extension to paired operators on $$L^2({\mathbb {T}}) \oplus L^2({\mathbb {T}})$$ L
Cristina Camara +2 more
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A theorem of Brown–Halmos type for dual truncated Toeplitz operators
Annals of Functional Analysis, 2020 The paper proves necessary and sufficient conditions for the commutativity of the product of two dual truncated Toeplitz operators for the unit disk. A truncated dual Toeplitz operator \(D_f\) is defined as \(x\in (K_u^2)^\perp\mapsto D_f\,x=(I-P_u)(fx)\in (K_u^2)^\perp\) where \(K_u^2=H^2\ominus u H^2\) with \(u\) a nonconstant inner function and ...
Xuanhao Ding
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On the Characterization of Hankel and Toeplitz Operators Describing Switched Linear Dynamic Systems with Point Delays [PDF]
Abstract and Applied Analysis, 2009 This paper investigates the causality properties of a class of linear time-delay systems under constant point delays which possess a finite set of distinct linear time-invariant parameterizations (or configurations) which, together with some switching ...
M. De la Sen
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Essentially Commuting Dual Truncated Toeplitz Operators
Chinese Annals of Mathematics Series B35 ...
Zhao Xianfeng +2 more
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Block dual Toeplitz operators on the orthogonal complement of the Dirichlet space
Annals of Functional AnalysisThe authors furnish a characterization of the compactness of the finite sum of block dual Toeplitz product and the Brown-Halmos type theorem about block dual Toeplitz operators.
Chunxu Xu, Jianxiang Dong
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PROPERTIES OF DUAL TOEPLITZ OPERATORS WITH APPLICATIONS TO HAPLITZ PRODUCTS ON THE HARDY SPACE OF THE POLYDISK [PDF]
Taiwanese Journal of Mathematics, 2015 In this paper, we introduce dual Toeplitz operators on the orthogonal complement of the Hardy space of the polydisk and establish their main algebraic properties using an auxiliary transformation of operators. As a byproduct, we exploit this mysterious transformation in the investigation of boundedness and compactness of Hankel products and mixed ...
Benaissa, Lakhdar, Guediri, Hocine
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On Orlicz Difference Sequence Spaces [PDF]
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2010 : The main aim of this article is to generalize the famous Orlicz sequence space by using difference operators and a sequence of non-zero scalars and investigate some topological structure relevant to this generalized space.
Hemen Dutta
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