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  • 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 certain Carleson measure criteria and vanishing Carleson measure criteria, respectively.
  • 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 certain Carleson measure criteria and vanishing Carleson measure criteria, respectively. (en)
Title
  • On Hankel Forms of Higher Weights: The Case of Hardy Spaces
  • On Hankel Forms of Higher Weights: The Case of Hardy Spaces (en)
skos:prefLabel
  • On Hankel Forms of Higher Weights: The Case of Hardy Spaces
  • On Hankel Forms of Higher Weights: The Case of Hardy Spaces (en)
skos:notation
  • RIV/47813059:19610/10:#0000285!RIV11-MSM-19610___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM4781305904)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Sundhäll, Marcus
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 276719
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/10:#0000285
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Hankel forms; Schatten-von Neumann classes; Bergman spaces; Hardy spaces; Besov spaces; transvectants; unitary representations; Mobius group (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CA - Kanada
http://linked.open...ontrolniKodProRIV
  • [F6F5FFAC0934]
http://linked.open...i/riv/nazevZdroje
  • Canadian Journal of Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 62
http://linked.open...iv/tvurceVysledku
  • Sundhäll, Marcus
  • Tchoundja, Edgar
http://linked.open...ain/vavai/riv/wos
  • 000275983400011
http://linked.open...n/vavai/riv/zamer
issn
  • 0008-414X
number of pages
http://localhost/t...ganizacniJednotka
  • 19610
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