Results 21 to 30 of about 277 (127)
Kodai Mathematical Journal, 1990 For every point a in the unit disc U, \(\psi_ a(z)=(z+a)/(1+\bar az)\) denotes the conformal map of U onto itself with \(\psi_ a(0)=a\). For a function f analytic in U, we set \(f_ a(z)=f(\psi_ a(z))-f(a)\), and the BMO norm \(B_ p(f)\) of f is defined by \(B_ p(f)=\sup \{\| f_ a\|_ p:\) \(a\in U\}\), where \(\| \cdot \|_ p\) denotes the ordinary Hardy
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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
Bourdon, P. S. +2 more
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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
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, 2023 A Denjoy domain is a plane domain whose complement is a closed subset $E$ of the extended real line $\bar{R}$ containing $\infty$ : such a domain is called Carleson-homogeneous if there exists $C>0$ such that for all $z\in E$ and $r>0$, one has $\vert E\cap [z-r,z+r]\vert\geq Cr$, where $\vert\cdot\vert$ is the Lebesgue measure on the line.
Huo, Shengjin, Zinsmeister, Michel
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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
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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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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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Invariant subspaces in VMOA and BMOA.
Michigan Mathematical Journal, 1994 Classical invariant subspace theorems for Hardy spaces are extended in this paper to spaces of functions of bounded mean oscillation. BMO is the Banach space of (Lebesgue) integrable functions of bounded mean oscillation on the circle \(T\). The closure in BMO of the continuous function on \(T\) is VMO, the space of functions of vanishing mean ...
Singh, Dinesh, Singh, U. N.
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, 2023 To investigate whether optic nerve ganglion cell amount is dependent on optic disc size, this trial analyzes the correlation between Bruch’s membrane opening area (BMOA) and retinal nerve fiber layer (RNFL) thickness as well as macular ganglion ...
Jens Julian Storp +4 more
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Compact and Weakly Compact Composition Operators on BMOA [PDF]
Complex Analysis and Operator Theory, 2011 We show that a composition operator induced by an analytic self-map of the unit disc in the complex plane is weakly compact on the space BMOA precisely when the operator is compact on BMOA. As a crucial step we simplify the compactness criterion due to Smith for composition operators on BMOA and show that his condition on the Nevanlinna counting ...
Saksman Eero +3 more
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