Results 31 to 40 of about 1,082 (143)
Mean Lipschitz spaces and a generalized Hilbert operator [PDF]
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 ...
Merchán, Noel
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BMOA: Binary Magnetic Optimization Algorithm [PDF]
Recently, the behavior of natural phenomena has become one the most popular sources for researchers in to design optimization algorithms. One of the recent heuristic optimization algorithms is Magnetic Optimization Algorithm (MOA) which has been inspired by magnetic field theory.
Mirjalili, SeyedAli +1 more
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Joint Approximation in BMOA and VMOA
On the unit disc \({\mathbb{D}}\), consider some space \(A\) of analytic functions endowed with a topology \(\tau\). A relatively closed subset \(X\) of \({\mathbb{D}}\) is called a Mergelyan (resp., Farrell) set for \((A, \tau)\) if for every \(f\in A\) such that the restriction \(f|_X\) is uniformly continuous (resp., bounded) there is a sequence \(\{
Pérez-González, Fernando +2 more
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Multivalent functions and QK spaces
We give a criterion for q-valent analytic functions in the unit disk to belong to QK, a Möbius-invariant space of functions analytic in the unit disk in the plane for a nondecreasing function K:[0,∞)→[0,∞), and we show by an example that our condition is
Hasi Wulan
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Vectorial Hankel operators, Carleson embeddings, and notions of $BMOA$ [PDF]
We consider operators of the type $D^\alpha:H^2(\mathcal{H})\to H^2(\mathcal{H})$, where $D^\alpha$ denotes a fractional differentiation operator, and $\Gamma_\phi$ is a Hankel operator.
Rydhe, Eskil
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Invariant subspaces in VMOA and BMOA.
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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Compact and Weakly Compact Composition Operators on BMOA [PDF]
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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Distance from Bloch-Type Functions to the Analytic Space F(p,q,s)
The analytic space F(p,q,s) can be embedded into a Bloch-type space. We establish a distance formula from Bloch-type functions to F(p,q,s), which generalizes the distance formula from Bloch functions to BMOA by Peter Jones, and to F(p,p-2,s) by Zhao.
Cheng Yuan, Cezhong Tong
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Values of BMOA functions on interpolating sequences. [PDF]
Let \(\rho (z,w)=| (z-w)/(1-\bar zw)|\) denote the pseudo- hyperbolic distance between z, \(w\in {\mathbb{D}}\) and let \(\{z_ n\}\) be an interpolating sequence in \({\mathbb{D}}\), i.e. a sequence satisfying \(\prod_{m\neq n}\rho (z_ m,z_ n)\geq \rho >0\) for all n. The purpose of this interesting paper is to give a complete characterization of those
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