Results 51 to 60 of about 5,191 (168)
Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball
Journal of Function Spaces and Applications, 2012 We consider when the product of two Toeplitz operators with some quasihomogeneous symbols on the Bergman space of the unit ball equals a Toeplitz operator with quasihomogeneous symbols.
Bo Zhang, Yufeng Lu
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Analytic multipliers of Bergman spaces.
Michigan Mathematical Journal, 1984 The author provides his results contained in his doctorial dissertation, through seven sections in this paper. Sections 1 and 2 contain basics and introduction with some examples, on unbounded multipliers from \(L^ 2_ a(D)\) to \(L^ 2(D)\). Section 3 deals with propositions on harmonic multipiers of \(L^ p_ a(W)\) to \(L^ p(W)\).
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Product and Commutativity of kth-Order Slant Toeplitz Operators
Abstract and Applied Analysis, 2013 The commutativity of kth-order slant Toeplitz operators with harmonic polynomial symbols, analytic symbols, and coanalytic symbols is discussed.
Chaomei Liu, Yufeng Lu
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On generalized Bergman spaces [PDF]
Studia Mathematica, 1996 Summary: Let \(D\) be the open unit disc and \(\mu\) a positive bounded measure on \([0, 1]\). Extending results of Mateljević/Pavlović and Shields/Williams we give Banach-space descriptions of the classes of all harmonic (holomorphic) functions \(f: D\to \mathbb{C}\) satisfying \[ \int^1_0 \Biggl(\int^{2\pi}_0 |f(re^{i\varphi})|^pd\varphi\Biggr)^{q/p}
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2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Space of the Unit Ball
AxiomsThere are two aims in this paper. One is to completely characterize complex symmetric and 2-complex symmetric weighted composition operators induced by some special symbols on the weighted Bergman space of the unit ball, and the other is to fully ...
Hui-Ling Jin, Zhi-Jie Jiang
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Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted-Type Spaces
Journal of Inequalities and Applications, 2009 Let φ be a holomorphic self-map and let ψ be a holomorphic function on the unit ball B. The boundedness and compactness of the weighted composition operator ψCφ from the generalized weighted Bergman space into a class of ...
Dinggui Gu
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Carleson Measure in Bergman-Orlicz Space of Polydisc
Abstract and Applied Analysis, 2010 Let μ be a finite, positive measure on 𝔻n, the polydisc in ℂn, and let σn be 2n-dimensional Lebesgue volume measure on 𝔻n. For an Orlicz function φ, a necessary and sufficient condition on μ is given in order that the identity map J:Laφ(&#
An-Jian Xu, Zou Yang
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Journal of Inequalities and Applications, 2011 This paper characterizes the boundedness and compactness of the weighted differentiation composition operator from weighted Bergman space to nth weighted space on the unit disk of ≤.
Zhang Liang, Zeng Hong-Gang
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper, we consider Toeplitz operators defined on the Bergman space La2(ℂ+)\msbm=MTMIB$L_a^2 \left( {{\msbm C}_+ } \right)$ of the right half plane and obtain Schatten class characterization of these operators. We have shown that if the Toeplitz
Das Namita, Behera Jitendra Kumar
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Journal of Function SpacesIn this work, we characterize the bounded and compact weighted composition operators from a large class of Banach space X of holomorphic functions on the open unit polydisk Dn into weighted-type Banach spaces of holomorphic functions on Dn.
Rabab Alyusof, Flavia Colonna
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