Results 131 to 140 of about 1,105 (155)

Isometric composition operators on BMOA

Mathematische Nachrichten, 2010
AbstractWe characterize and provide examples of the analytic self‐maps of the unit disc, which induce isometric com‐position operators on the space BMOA equipped with a Möbius invariant H2 norm (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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Pointwise multipliers from BMOA ^α to BMOA ^β

Complex Variables, Theory and Application: An International Journal, 2004
Let g be an analytic function on the open unit disk D in the complex plane C. We will study the following operator In this article we study the operators Ig , Jg from BMOA α to BMOA β (from D α to D β) (α ≤ β). And we study pointwise multipliers from BMOA α to BMOA β (from D α to D β) (α ≤ β).
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On The Exact Norm Value Op Some Bmoa Functions

Results in Mathematics, 1994
This paper discusses the relationships among the \(H^ \infty\) norm \(\| f\|_ \infty\), BMOA norm \(\| f\|_ *\), Bloch norm \(\| f\|_ B\) and \(H^ 2\) norm \(\| f\|_ 2\) of a function \(f\) analytic in the unit disk \(D\). Two classes of BMOA functions \(f\) in the form of power series were found to have the properties \(\| f\|_ *= \| f\|_ 2\) and \(\|
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Composition Operators and Vector-valued BMOA

Integral Equations and Operator Theory, 2007
Analytic composition operators \(C_{\varphi}: f \mapsto f \, o\, \varphi\) are studied on X-valued versions of BMOA, the space of analytic functions on the unit disk that have bounded mean oscillation on the unit circle, where X is a complex Banach space.
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Remarks on Vector-valued BMOA and Vector-valued Multipliers

Positivity, 2000
This paper considers the vector-valued interpretation of the space BMOA defined in terms of Carleson measures and analyzes the relationship with the one defined in terms of oscillation. The space of multipliers between \(H^p\) and BMOA is studied in the vector-valued setting.
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Multiplicative structure in weighted BMOA spaces

Journal d'Analyse Mathématique, 1998
Suppose \(\varphi: \mathbb{R}_+ \to\mathbb{R}_+\) is a nondecreasing continuous function, \(\mathbb{R}_+\) is the positive real axis. The space BMO consists of those functions \(f\in L^1 (\partial D)\) for which \[ \int_{\partial D} \bigl| f(e^{i \theta}) -f(z) \bigr| d\mu_z (\theta) \leq c_f\varphi \bigl(1- | z | \bigr), \quad z\in D \] where \(D\) is
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Слабые определения гиперболического класса BMOA

Математические заметки
Доказано, что слабые Мeбиус-инвариантные определения типа BMOA в единичном шаре $B_n$ из $\mathbb{C}^n$ задают стандартное пространство $\mathrm{BMOA}(B_n)$. Также получены описания гиперболического класса $\mathrm{BMOA}_h$, состоящего из голоморфных отображений из $B_n$ в $B_m$. Библиография: 8 названий.
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Inequalities for the integral means of BMOA functions

Complex Variables, Theory and Application: An International Journal, 1994
M. Nowak has recently proved that if f∊BMOA and f(O) = 0 then there exists a positive constant A which depends only on the BMOA-norm of f such that for p ≥ In this paper we prove that this result remains true for ...
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Extended cesÀro operators and multipliers on bmoa

Acta Mathematica Scientia, 2012
Abstract In this article, we characterize the boundedness and compactness of extended CesAro operators on the spaces BMOA by the Carleson measures in the unit ball. Meanwhile, we study the pointwise multipliers on BMOA.
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Integral Means and Bmoa-Norms of Logarithms of Univalent Functions

Journal of the London Mathematical Society, 1986
Let S be a class of functions f analytic and univalent in \(\{| z|
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