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On Hankel Forms of Higher Weights: The Case of Hardy Spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F10%3A%230000285" target="_blank" >RIV/47813059:19610/10:#0000285 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Hankel Forms of Higher Weights: The Case of Hardy Spaces

  • Original language description

    In this paper we study bilinear Hankel forms of higher weights on Hardy spaces in several dimensions. (The Schatten class Hankel forms of higher weights on weighted Bergman spaces have already been studied by Janson and Peetre for one dimension and by Sundhäll for several dimensions). We get a full characterization of Schatten class Hankel forms in terms of conditions for the symbols to be in certain Besov spaces. Also, the Hankel forms are bounded and compact if and only if the symbols satisfy certainCarleson measure criteria and vanishing Carleson measure criteria, respectively.

  • 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

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Canadian Journal of Mathematics

  • ISSN

    0008-414X

  • e-ISSN

  • Volume of the periodical

    62

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    CA - CANADA

  • Number of pages

    17

  • Pages from-to

  • UT code for WoS article

    000275983400011

  • EID of the result in the Scopus database