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Iterates and the boundary behaviour of the Berezin transform.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F01%3A05025113" target="_blank" >RIV/67985840:_____/01:05025113 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Iterates and the boundary behaviour of the Berezin transform.

  • Original language description

    We study the relation between the boundary behaviour of a function and its Berezin transform; the convergence of the iterates under the Berezin transform of a given function; and the existence of functions invariant under the Berezin transform and havingprescribed boundary values. The strongest results are obtained for strictly pseudoconvex domains and for bounded symmetric domains. For the latter, we also establish similar results for more general convolution operators, and a number of results on the.....

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA1019005" target="_blank" >IAA1019005: Function theory and operator theory in Bergman spaces</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2001

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Annales de l.and.Institut Fourier

  • ISSN

    0373-0956

  • e-ISSN

  • Volume of the periodical

    51

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    FR - FRANCE

  • Number of pages

    33

  • Pages from-to

    1101-1133

  • UT code for WoS article

  • EID of the result in the Scopus database