Results 31 to 40 of about 1,105 (155)
The Universal Teichmüller Space and Function Space
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
Weighted Differentiation Composition Operators to Bloch-Type Spaces
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
doaj +1 more source
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
core +2 more sources
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
openaire +1 more source
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
openaire +2 more sources
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.
openaire +3 more sources
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
openaire +2 more sources
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
doaj +1 more source
Factorization of some Hardy type spaces of holomorphic functions [PDF]
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
core +4 more sources
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
doaj +1 more source

