Results 121 to 130 of about 1,105 (155)

Weak Definitions of the Hyperbolic BMOA Class

Mathematical Notes
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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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Radial Divergence in BMOA

Proceedings of the London Mathematical Society, 1994
Let \(f(z)\) be a holomorphic function on \(B = \{z \in \mathbb{C}^ n : | z |
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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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On BMOA for Riemann Surfaces

Canadian Journal of Mathematics, 1981
Let Δ denote the unit disk in the complex plane C. The space BMO has been extensively studied by many authors (see [3] for a good exposition of this topic). Recently, the subspace BMOA (Δ) has become a topic of interest. An analytic function f, in the Hardy class H2(A), belongs to BMOA (Δ) if(1)whereIt is known (see [3, p.
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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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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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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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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 H^p norm. Our results answer a question raised by J. Laitila [Math. Nachr. 283(2010), pp. 1646–1653] for all 1 ≤ p >
Chen, Tiantian, Wulan, Hasi
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WEIGHTED BLOCH SPACES, $H^p$ , AND ${\rm BMOA}$

Journal of the London Mathematical Society, 2002
We let \(H^ p ...
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