Results 61 to 70 of about 1,105 (155)

Riemann-Stieltjes operators from spaces to -Bloch spaces on the unit ball

open access: yesJournal of Inequalities and Applications, 2006
Let denote the space of all holomorphic functions on the unit ball . We investigate the following integral operators: , , , , where , and is the radial derivative of .
Li Songxiao
doaj  

Boundedness of the differentiation operator in model spaces and application to Peller type inequalities [PDF]

open access: yes, 2014
Given an inner function $\Theta$ in the unit disc $\mathbb{D}$, we study the boundedness of the differentiation operator which acts from from the model subspace $K_{\Theta}=\left(\Theta H^{2}\right)^{\perp}$ of the Hardy space $H^{2},$ equiped with the ...
Baranov, Anton, Zarouf, Rachid
core   +1 more source

Absolute values of BMOA functions

open access: yesRevista Matemática Iberoamericana, 1999
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.
openaire   +3 more sources

Compactness of composition operators on BMOA [PDF]

open access: yesProceedings of the American Mathematical Society, 1999
A function theoretic characterization is given of when a composition operator is compact on BMOA, the space of analytic functions on the unit disk having radial limits that are of bounded mean oscillation on the unit circle. When the symbol of the composition operator is univalent, compactness on BMOA is shown to be equivalent to compactness on the ...
openaire   +1 more source

Multipliers of \(H^ p\) and BMOA

open access: yes, 1990
For functions \(f(z)=\sum^{\infty}_{0}a_ nz^ n\), \(g(z)=\sum^{\infty}_{0}b_ nz^ n\) analytic in the unit disk \({\mathbb{D}}\) write \(f*g(z)=\sum^{\infty}_{0}a_ nb_ nz^ n\) and \(M_ p(r,f)=(1/2\pi)\int^{2\pi}_{0}| f(re^{i\theta})^ p d\theta)^{1/p}\). The space \(H^ p\) is the set of analytic f with \(M_ p(r,f)=O(1)\) as \(r\to 1\).
Mateljević, M., Pavlovic, M.
openaire   +2 more sources

Bloch-to-BMOA compositions on complex balls [PDF]

open access: yesProceedings of the American Mathematical Society, 2012
Let \(\mathbb{B}_n\) denote the unit ball in \(\mathbb{C}^n\), \(H(\mathbb{B}_n)\) denote the holomorphic functions on \(\mathbb{B}_n\). For a map \(\varphi:\mathbb{B}_n\to \mathbb{B}_m\) the composition operator \(C_\varphi\) is defined on \(H(\mathbb{B}_n)\) by \(C_\varphi(f)=f\circ\varphi\). The Bloch space of functions \(\mathcal{B}(\mathbb{B}_n)\)
openaire   +2 more sources

Pointwise multipliers on the weighted BMOA space

open access: yesJournal of Physics: Conference Series, 2020
Abstract Let D = {z : |z| < 1} be the unit disk in the complex plane C, Φ :
openaire   +1 more source

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