Results 101 to 110 of about 277 (127)

The role of BMOA in the boundedness of weighted composition operators

Journal of Functional Analysis, 2010
Corrigendum to "The role of BMOA in the boundedness of weighted composition operators" [J. Funct. Anal. 258 (11) (2010) 3593–3603] J. Funct. Anal. 259 (2010), no. 10, 2757–2758Boundedness (resp.
Eva A Gallardo-Gutiérrez, Jonathan R Partington   +1 more
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ON SUBSPACES AND SUBSETS OF BMOA AND UBC

Analysis, 1995
Let \(\Delta\) denote the unit disk in the complex plane, let \(a \in \Delta\) and let \(g(z, a) = \log |(1- \overline {a} z/(z- a)|\) be the Green's function on \(\Delta\) with singularity at \(a\). The following function sets are introduced for \( 0\leq p< \infty\): \[ \begin{aligned} Q_p &=\{f:\;f\text{ analytic in \(\Delta\) and } \sup_{a\in \Delta}
Aulaskari, Rauno, Xiao, Jie, Zhao, Ruhan
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BMOA and multivalent functions

Complex Variables, Theory and Application: An International Journal, 1997
In this paper, we discuss the relation between BMOA (or Hardy-Orlicz Space HBa) and areally mean p-valent functions A(p), some growth estimates of f'/ff (n) for f∊A(p) are given; we find also some relations between A(p) and the class of normalization univalent functions S; Finally, we obtain a quantitative estimate on integral means of |f′|λ for f∊A(p)
Dong Xinhan, He Yuzan
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Spectra of Composition Operators on BMOA

Integral Equations and Operator Theory, 2005
It is shown that if ϕ is a univalent self-map on the unit disk $$\mathbb{D},$$ is not an automorphism and has a fixed point in $$\mathbb{D}$$ and if the essential ...
M. Lindström, N. Palmberg
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A Weighted Composition Semigroup on BMOA

Complex Analysis and Operator Theory, 2011
Let \(\{\varphi_t: t\geq 0\}\) be a semigroup of analytic self-maps of the unit disk \(\mathbb{D}\). The author obtains several results related to the strong continuity of the weighted composition semigroup \[ T_t f(z) = \varphi_t^\prime(z) f(\varphi(z)) \] on the space \(\mathrm{BMOA}(\mathbb{D})\). In particular, there exists a maximal subspace of \(\
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Isometries of composition operators on BMOA

Proceedings of the American Mathematical Society
We characterize completely the analytic self-maps of the unit disc inducing isometric composition operators on the space BMOA equipped with a Möbius invariant H p
Chen, Tiantian, Wulan, Hasi
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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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Möbius Invariant Vector-Valued BMOA and H ¹ -BMOA Duality of the Complex Ball

Journal of the London Mathematical Society, 2001
The authors give two definitions of vector-valued BMOA spaces in the complex ball. They prove that the definitions are equivalent. They also study John-Nirenberg inequalities and \(H^1\)-BMOA duality for vector functions.
Chen, Zeqian, Ouyang, Caiheng
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Compact composition operators on BMOA(B n )

Science in China Series A: Mathematics, 2009
Given a holomorphic self-map \(\phi\) of the unit ball \(B_n\) in \(\mathbb C^n\), the composition operator \(C_\phi\), defined by \(C_\phi f=f\circ\phi\), certainly preserves the space of all holomorphic functions on \(B_n\). However, when \(n>1\), unlike the one-variable situation, it is well known that \(C_\phi\) does not preserve standard subspaces
Li, Song-Ying, Long, SuJuan
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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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