Results 261 to 270 of about 166,276,517 (302)
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Analytic Campanato Spaces by Functionals and Operators
The Journal of Geometric Analysis, 2015The paper is a nice study of the analytic Campanato space \(\mathcal{CA}_p\) on the unit disk \(\mathbb D\) of the complex plane \(\mathbb C\). After an introduction into the topic, the study has two main sections concerning with the behaviour of functionals and operators on Campanato spaces.
Wang, J., Xiao, J.
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2016
We present here spaces of analytic functions \(\mathbf{A}_{\alpha,d}^{n} \subset \mathbf{S}^{n}\) as well as spaces, \(\mathbf{A}_{\alpha,d,T}^{n} \subset \mathbf{S}_{T}^{n}\), n = 1, 2, 3. In this chapter, we shall study the properties of these spaces, we shall prove in Chap. 3 that if the components of the initial condition vector u0 belong to A α, d
Frank Stenger, Don Tucker, Gerd Baumann
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We present here spaces of analytic functions \(\mathbf{A}_{\alpha,d}^{n} \subset \mathbf{S}^{n}\) as well as spaces, \(\mathbf{A}_{\alpha,d,T}^{n} \subset \mathbf{S}_{T}^{n}\), n = 1, 2, 3. In this chapter, we shall study the properties of these spaces, we shall prove in Chap. 3 that if the components of the initial condition vector u0 belong to A α, d
Frank Stenger, Don Tucker, Gerd Baumann
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Extreme Points in Spaces of Analytic Functions
Canadian Journal of Mathematics, 1968Our aim in this paper is to obtain some theorems concerning spaces of analytic functions on a finite open Riemann surface R which extend known results for the disc △ = {|z| < 1}. Suppose that R has a smooth boundary bR consisting of t closed curves, and that the interior genus of R is s. The first Betti number of R is then r = 2s + t — 1.
Gamelin, T. W., Voichick, M.
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Metric Spaces of Bounded Analytical Functions
Journal of Mathematical Sciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makhmutov, S. A., Makhmutova, M. S.
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Approximation in spaces of analytic functions
Studia Mathematica, 2020Summary: We give an elementary proof of the approximation theorem established by A. Matheson for analytic Lipschitz spaces \(\lambda_\alpha\). Our approach allows us to extend this theorem to \(\mathcal D_\omega\cap\lambda_\alpha\), where \(\mathcal D_\omega\) denotes superharmonically weighted Dirichlet spaces (including standard Dirichlet spaces). As
Idrissi, Hafid Bahajji-El +1 more
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SPECTRAL DECOMPOSITIONS IN SPACES OF ANALYTIC FUNCTIONALS
Mathematics of the USSR-Izvestiya, 1980This article deals with spaces of entire vector-valued functions determined by families of radial majorants, and their dual spaces of analytic functionals. Spectral properties of generalized boundary value problems generated by the operator of multiplication by the independent variable are investigated. Bibliography: 64 titles.
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2019
In this chapter, we shall put a metric on the set of all analytic functions on a fixed region \(G\subset \mathbb {C},\) and “compactness”, “converge”, “normality”, “uniform continuity”, and “equicontinuity” in this metric space is discussed. We shall also discuss Hurwitz’s theorem, Montel’s theorem and among the applications obtained is a proof of the ...
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In this chapter, we shall put a metric on the set of all analytic functions on a fixed region \(G\subset \mathbb {C},\) and “compactness”, “converge”, “normality”, “uniform continuity”, and “equicontinuity” in this metric space is discussed. We shall also discuss Hurwitz’s theorem, Montel’s theorem and among the applications obtained is a proof of the ...
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The Structure of Certain Spaces of Analytic Functions
Computational Methods and Function Theory, 2008Let \(\mu\) be a finite positive Borel measure with compact support in the complex plane \(\mathbb C\).
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Radius of analyticity of analytic functions on Banach spaces
Journal of Mathematical Analysis and Applications, 2018The primary interest here is in two measures of convergence of power series in real Banach spaces \(E.\) Consider a point \(a \in E\) and a power series \(\sum_{j=0}^\infty P_j(x-a),\) where each \(P_j\) is a continuous \(j\)-homogeneous polynomial on \(E\).
Boyd, Christopher +2 more
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Division by a Polynomial in Spaces of Analytic Functionals
Journal of Mathematical ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivanov, P. A., Melikhov, S. N.
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