Results 1 to 10 of about 826,914 (316)
The essential norm of a composition operator on Bloch spaces [PDF]
Pacific Journal of Mathematics, 1999 We express the essential norm of a composition operator on the Bloch space and the little Bloch space as the asymptotic upper bound of a quantity involving the inducing map and the Pick-Schwarz Lemma. As a consequence, we obtain a new proof of a recently
Alfonso Montes-Rodrı́guez
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Essential norm of some extensions of the generalized composition operators between kth weighted-type spaces [PDF]
Journal of Inequalities and Applications, 2017 We calculate the essential norm of some extensions of the generalized composition operators between kth weighted-type spaces on the unit disk in the complex plane, considerably extending some results in the literature.
Stevo Stević
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The essential norm of a composition operator mapping into Qk type spaces [PDF]
Journal of Function Spaces and Applications, 2008 An asymptotic formula for the essential norm of the composition operator Cφ(f):=f∘φ, induced by an analytic self-map φ of the unit disc, mapping from the α-Bloch space ℬα or the Dirichlet type space Dαp into Qk(p,q) is established in terms of an integral
Marko Kotilainen, Jouni Rättyä
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The essential norm of bounded diagonal infinite matrices acting on Banach sequence spaces [PDF]
Demonstratio MathematicaWe calculate the essential norm of bounded diagonal infinite matrices acting on Köthe sequence spaces. As a consequence of our result, we obtain a recent criteria for the compactness of multiplication operator acting on Köthe sequence spaces.
Fernández Julio C. Ramos +2 more
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The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn [PDF]
Abstract and Applied Analysis, 2010 In 1993, Peloso introduced a kind of operators on the Bergman space A2(B) of the unit ball that generalizes the classical Hankel operator. In this paper, we estimate the essential norm of the generalized Hankel operators on the Bergman space Ap(B) (p>1)
Luo Luo, Yang Xuemei
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Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball [PDF]
Abstract and Applied Analysis, 2011 The essential norm of any operator from a general Banach space of holomorphic functions on the unit ball in ℂn into the little weighted-type space is calculated. Some applications of the formula are given.
Pablo Galindo +2 more
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AxiomsLet H(D) be the set of analytic functions on the open unit disk D. For n∈N0:=N∪{0}, define the iterated weighted-type Banach space Vn:=f∈H(D):supz∈D(1−|z|2)|f(n)(z)|
Rabab Alyusof +2 more
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Open MathematicsIn this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C. +2 more
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Essential Norm of the Generalized Integration Operator from Zygmund Space into Weighted Dirichlet Type Space [PDF]
Sahand Communications in Mathematical Analysis, 2022 Let $H(\mathbb{D})$ be the space of all analytic functions on the open unit disc $\mathbb{D}$ in the complex plane $\mathbb{C}$. In this paper, we investigate the boundedness and compactness of the generalized integration operator$$I_{g,\varphi}^{(n)}(f)(
Fariba Alighadr +2 more
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Volterra integral operators on a family of Dirichlet-Morrey spaces [PDF]
Opuscula Mathematica, 2023 A family of Dirichlet-Morrey spaces \(\mathcal{D}_{\lambda,K}\) of functions analytic in the open unit disk \(\mathbb{D}\) are defined in this paper. We completely characterize the boundedness of the Volterra integral operators \(T_g\), \(I_g\) and the ...
Lian Hu, Xiaosong Liu
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