Results 11 to 20 of about 277 (127)
AbstractLet D be the unit disc in the complex plane. It is shown that(i) for 0 < p < 2, there exists an analytic function f ∊ BMOA for which and(ii) for 2 < p < ∞, there exists an analytic function f ∉ BMOA for whichThis settles the question of Stroethoff [5] on BMOA.
Jun Soo Choa
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Investigation of changes in bone density and chemical composition associated with bone marrow oedema-type appearances in magnetic resonance images of the equine forelimb [PDF]
Background The aetiology of bone marrow oedema-like abnormalities (BMOA) seen on magnetic resonance imaging (MRI) is as yet not fully understood. The current study aimed to investigate the potential of projection radiography and Raman microspectroscopy ...
Christine J. Heales +4 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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Some unsolved problems on meromorphic functions of uniformly bounded characteristic
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
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Absolute values of BMOA functions
The paper contains a complete characterization of the moduli of BMOA functions. These are described explicitly by a certain Muckenhoupt-type condition involving Poisson integrals. As a consequence, it is shown that an outer function with BMO modulus need not belong to BMOA. Some related results are obtained for the Bloch space.
Dyakonov, Konstantin M.
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Weighted Differentiation Composition Operators to Bloch-Type Spaces [PDF]
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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Random Power Series in Qp,0 Spaces
Aulaskari et al. proved if 0 < p < 1 and {εn} is sequence of independent, identically distributed Rademacher random variables on a probability space, then the condition Σn=0∞n1−pan2<∞ implies that the random power series Rfz=∑n=0∞anεnzn∈Qp almost surely. In this paper, we improve this result showing that the condition Σn=0∞n1−pan2<∞ actually implies Rf∈
Haiyin Li, Yan Wu, Alberto Lastra
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Embedding of Besov Spaces and the Volterra Integral Operator
The boundedness and compactness of the inclusion mapping from Besov spaces to tent spaces are studied in this paper. Meanwhile, the boundedness, compactness, and essential norm of the Volterra integral operator Tg from Besov spaces to a class of general function spaces are also investigated.
Dan Qu +3 more
wiley +1 more source
Composition Semigroups on Weighted Bergman Spaces Induced by Doubling Weights
We prove that composition semigroups are strongly continuous on weighted Bergman spaces with doubling weights. Point spectra and compact resolvent operators of infinitesimal generators of composition semigroups are characterized.
Fanglei Wu, Dimitri Mugnai
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Let \(S\) be the set of all mappings \(\text{Log} f'(z)\), where \(f\) is conformal in the unit disk \(\mathbb{D}\) of the complex plane \(\mathbb{C}\). Then \(S\) is a bounded subset of the Bloch space \({\mathcal B}\), the set of \(\varphi\) holomorphic in \(\mathbb{D}\) with \(\| \varphi \|_{\mathcal B}= \sup\{(1- | z|^2) |\varphi'(z) |;\;z\in ...
Astala, Kari, Zinsmeister, Michel
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