Results 61 to 70 of about 122,241 (182)
Fractional derivatives of holomorphic functions on bounded symmetric domains of Cn
International Journal of Mathematics and Mathematical Sciences, 1996 Let f∈H(Bn). f|β| denotes the βth fractional derivative of f.
Zengjian Lou
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Composition Operators on Classical Spaces of Analytic Functions [PDF]
Sahand Communications in Mathematical AnalysisWe shall provide a brief account on new achievements in the study of composition and composition-differentiation operators acting on classical spaces of analytic functions on the unit disk, as well as on the polydisk and the unit ball.
Ali Abkar
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Abstract and Applied Analysis, 2011 Let ψ be a holomorphic mapping on the upper half-plane Π+={z∈ℂ:Jz>0} and φ be a holomorphic self-map of Π+. We characterize bounded weighted composition operators acting from the weighted Bergman space to the weighted-type space on the upper half-plane ...
Stevo Stević +2 more
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Schatten Class Toeplitz Operators on the Bergman Space
International Journal of Mathematics and Mathematical Sciences, 2009 We have shown that if the Toeplitz operator Tϕ on the Bergman space La2(𝔻) belongs to the Schatten class Sp,1 ...
Namita Das
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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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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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