151,167 research outputs found

    Products of Composition Operators and Volterra-type Integral Operators from Logarithmic Bloch Spaces into Bloch-type Spaces

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    [[abstract]]Let ' be an analytic self-map of the unit disk D, H(D) the space of analytic functions on D and g 2 H(D). The boundedness and compact- ness of the products of composition operators and Volterra-type integral operators from the logarithmic Bloch spaces into the Bloch-type spaces are investigated in this paper

    Distortion theorems for Bloch functions

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    This paper has a similar theme. We show that there is an analogous subordination theorem (Theorem 1) for normalized (not necessarily locally univalent) Bloch functions. This subordination result enables us to obtain some known results from a unified perspective and also leads to new results. Let us introduce some notation and terminology. The unit disk in the complex plane is denoted by D . For a function f holomorphic on D the Bloch seminorm is given b

    Costellazioni urbane. Le immagini d città di Ernst Bloch

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    L'articolo analizza i testi dedicati da Ernst Bloch alle immagini di città, con particolare attenzione a Napoli, come esempio della porosità dell'Italia, e a Berlino. La lettura offerta da Bloch di questi luoghi viene confrontata con la lettura proposta da Benjamin, sottolineando sia elementi di affinità sia di divergenza. The article analyses the texts dedicated by Ernst Bloch to images of cities, with particular attention to Naples, as an example of the porosity of Italy, and Berlin. Bloch's reading of these places is compared with Benjamin's reading, underlining both elements of affinity and divergence

    Costellazioni urbane. Le immagini d città di Ernst Bloch

    No full text
    L'articolo analizza i testi dedicati da Ernst Bloch alle immagini di città, con particolare attenzione a Napoli, come esempio della porosità dell'Italia, e a Berlino. La lettura offerta da Bloch di questi luoghi viene confrontata con la lettura proposta da Benjamin, sottolineando sia elementi di affinità sia di divergenza. The article analyses the texts dedicated by Ernst Bloch to images of cities, with particular attention to Naples, as an example of the porosity of Italy, and Berlin. Bloch's reading of these places is compared with Benjamin's reading, underlining both elements of affinity and divergence

    Compact Bloch mappings on the complex unit disc

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    The known duality of the space of Bloch complex-valued functions on the open complex unit disc D\mathbb{D} is addressed under a new approach with the introduction of the concepts of Bloch molecules and Bloch-free Banach space of D\mathbb{D}. We introduce the notion of compact Bloch mapping from D\mathbb{D} to a complex Banach space and establish its main properties: invariance by M\"obius transformations, linearization from the Bloch-free Banach space of D\mathbb{D}, factorization of their derivatives, inclusion properties, Banach ideal property and transposition on the Bloch function space. We state Bloch versions of the classical theorems of Schauder, Gantmacher and Davis-Figiel-Johnson-Pelczy\'nski.Comment: 25 page

    p-Summing Bloch mappings on the complex unit disc

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    The notion of pp-summing Bloch mapping from the complex unit open disc D\mathbb{D} into a complex Banach space XX is introduced for any 1p1\leq p\leq\infty. It is shown that the linear space of such mappings, equipped with a natural seminorm πpB\pi^{\mathbb{B}}_p, is M\"obius-invariant. Moreover, its subspace consisting of all those mappings which preserve the zero is an injective Banach ideal of normalized Bloch mappings. Bloch versions of the Pietsch's domination/factorization Theorem and the Maurey's extrapolation Theorem are presented. We also introduce the spaces of XX-valued Bloch molecules on D\mathbb{D} and identify the spaces of normalized pp-summing Bloch mappings from D\mathbb{D} into XX^* under the norm πpB\pi^{\mathbb{B}}_p with the duals of such spaces of molecules under the Bloch version of the pp-Chevet--Saphar tensor norms dpd_p.Comment: 23 pages. Introduced some corrections on the first version. Accepted for publication in Banach Journal of Mathematical Analysi

    p-Compactness of Bloch maps

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    Influenced by the concept of a p-compact operator due to Sinha and Karn (Stud Math 150(1): 17–33, 2002), we introduce p-compact Bloch maps of the open unit disk D ⊆ C to a complex Banach space X, and obtain its most outstanding properties: surjective Banach ideal property, Möbius invariance, linearisation on the Bloch-free Banach space over D, inclusion properties, factorisation of their derivatives, and transposition on the normalized Bloch space. We also present right p-nuclear Bloch maps of D to X and study its relation with p-compact Bloch maps

    Anthias Bloch 1792

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    Anthias Bloch, 1792 Type species: Labrus anthias Linnaeus, 1758, by absolute tautonymy. Nine species.Published as part of William D. Anderson, Jr., 2018, Annotated checklist of anthiadine fishes (Percoidei: Serranidae), pp. 1-62 in Zootaxa 4475 (1) on page 7, DOI: 10.11646/zootaxa.4475.1.1, http://zenodo.org/record/145328

    K. D. Bracher, W. Sauer, G. Schulz, Die National-Sozialistische Machtergreifung. William S. Allen, Une petite ville nazie, 1930-1935.

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    Bloch Charles. K. D. Bracher, W. Sauer, G. Schulz, Die National-Sozialistische Machtergreifung. William S. Allen, Une petite ville nazie, 1930-1935.. In: Annales. Économies, Sociétés, Civilisations. 24ᵉ année, N. 1, 1969. pp. 218-221
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