Topic
Bloch space
About: Bloch space is a research topic. Over the lifetime, 607 publications have been published within this topic receiving 9454 citations.
Papers published on a yearly basis
Papers
TL;DR: The space of all Bloch functions will be denoted by «^. z€D'' as mentioned in this paper, which is equivalent to a well-known theorem of Bloch, and can be expressed in terms of the largest schlicht disc in the Riemann image surf ace.
Abstract: The space of all Bloch functions will be denoted by «^. There are several distinct characterisations of Bloch functions: (i) f € @l if and only if the f amily of functions f,(*) = ΐ(φ(*ϊ) f(?(0)); φ(ζ) = -ff^·, | a |< l, is finitely normal in D [28]. (ii) Let df(z) denote the largest schlicht disc around the point f(z) on the Riemann image surf ace by /. Then f € SS if and only if b = sup df(z) < oo. z€D This is equivalent to a well-known theorem of Bloch. In quantitative terms
504 citations
250 citations
TL;DR: Soit D le disque unite ouvert dans le plan complexe C. Soit H ∞ (D) lensemble des fonctions analytiques bornees sur D as discussed by the authors.
Abstract: Soit D le disque unite ouvert dans le plan complexe C. Soit H ∞ (D) l'ensemble des fonctions analytiques bornees sur D. On caracterise les fonctions feH ∞ (D) telles que T f *T f -TfT f * est un operateur compact, ou T f est l'operateur multiplication T f :L a 2 →L a 2 defini par T f (g)=fg
229 citations
TL;DR: The boundedness and compactness of the products of Volterra type operators and composition operators from the space of bounded analytic functions and the Bloch space to the Zygmund space are discussed in this paper.
150 citations
TL;DR: In this article, an integral-type operator on the space H (B ) of all holomorphic functions on the unit ball B ⊂ C n P φ g ( f ) ( z ) = ∫ 0 1 f ( φ ( t z ) ) g ( t t, z ∈ B, where g ∈ H ( B ), g ( 0 ) = 0 and φ is a holomorphic self-map of B.
145 citations
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Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 4 |
| 2024 | 7 |
| 2023 | 18 |
| 2022 | 30 |
| 2021 | 28 |
| 2020 | 21 |