Results 21 to 30 of about 1,082 (143)
Compact Composition Operators on BMOA [PDF]
Transactions of the American Mathematical Society, 1999 We characterize the compact composition operators on BMOA, the space consisting of those holomorphic functions on the open unit disk U U that are Poisson integrals of functions on ∂ U \partial U , that have bounded mean oscillation.
Bourdon, P. S. +2 more
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A Hankel matrix acting on spaces of analytic functions [PDF]
, 2017 If $\mu $ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_\mu $ be the Hankel matrix $\mathcal H_\mu =(\mu _{n, k})_{n,k\ge 0}$ with entries $\mu _{n, k}=\mu _{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $\mu_n$ denotes the moment ...
Girela, Daniel, Merchán, Noel
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Some unsolved problems on meromorphic functions of uniformly bounded characteristic
International Journal of Mathematics and Mathematical Sciences, 1985 The family UBC(R) of meromorphic functions of uniformly bounded characteristic in a Rieman surface R is defined in terms of the Shimizu-Ahlfors characteristic function.
Shinji Yamashita
doaj +1 more source
BMOA Characterization with Families of Cauchy Transforms
Sultan Qaboos University Journal for Science, 1999 In this paper we prove a number of results on Cauchy transforms of generalized type given by Borel measures supported on the class of analytic functions mapping the unit disc into the unit desk.
Yusuf Abu Muhanna, El-Bachir Yallaoui
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Factorization of some Hardy type spaces of holomorphic functions [PDF]
, 2014 We prove that the pointwise product of two holomorphic functions of the upper half-plane, one in the Hardy space $\mathcal H^1$, the other one in its dual, belongs to a Hardy type space. Conversely, every holomorphic function in this space can be written
Bonami, Aline, Ky, Luong Dang
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Weighted Composition Operators on BMOA [PDF]
Computational Methods and Function Theory, 2008 The author completely characterizes the boundedness and compactness of the weighted composition operator \(W_{\psi,\varphi}f=\psi (f\circ \varphi)\) acting on \(BMOA\) and \(VMOA\) of the unit disc. The results extend and unify those known for the cases \(\varphi(z)=z\) and \(\psi(z)=1\) corresponding to the multiplication operator \(M_\psi\) [see ...
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An Adaptive Particle Swarm Optimization Algorithm for Unconstrained Optimization
Complexity, Volume 2020, Issue 1, 2020., 2020 Conventional optimization methods are not efficient enough to solve many of the naturally complicated optimization problems. Thus, inspired by nature, metaheuristic algorithms can be utilized as a new kind of problem solvers in solution to these types of optimization problems.
Feng Qian +5 more
wiley +1 more source
Weighted Differentiation Composition Operators to Bloch-Type Spaces
Abstract and Applied Analysis, 2013 We characterized the boundedness and compactness of weighted differentiation composition operators from BMOA and the Bloch space to Bloch-type spaces. Moreover, we obtain new characterizations of boundedness and compactness of weighted differentiation ...
Junming Liu +2 more
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The Universal Teichmüller Space and Function Space
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this paper, a subspace TF02,1−s,s of the universal Teichmüller space, which is related to the analytic function space F0(2,1 − s, s), is introduced and the holomorphy of the Bers map is shown. It is also proved that the pre‐Bers map is holomorphic and the prelogarithmic derivative model T˜F02,1−s,s of TF02,1−s,s is a disconnected subset of the ...
Yutong Liu, Yi Qi, Raúl E. Curto
wiley +1 more source
The Weiss conjecture on admissibility of observation operators for contraction semigroups [PDF]
, 2001 We prove the conjecture of George Weiss for contraction semigroups on Hilbert spaces, giving a characterization of infinite-time admissible observation functionals for a contraction semigroup, namely that such a functional C is infinite-time admissible ...
A. Simard +13 more
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