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  • Jsou sestrojeny příklady oblasti, jejichž Berezinova transformace není shlazující zobrazení, protože její integrální jádro má singularity. Ukazuje se nicméně, že toto nemůže nastat v případě rovinných oblastí. Krom toho je dokázáno, že v kontrastu s výsledkem J. Wiegerincka, žádná Reinhardtova oblast nemůže mít nenulový konečně-dimenzionální Bergmanův prostor. (cs)
  • Examples are given when the Berezin transform fails to be a smoothing map, since its integral kernel has singularities. We show, however, that this can never happen for a plane domain, and also prove that, in contrast to a result of Wiegerinck, a Reinhardt domain cannot have a nonzero finite-dimensional Bergman space.
  • Examples are given when the Berezin transform fails to be a smoothing map, since its integral kernel has singularities. We show, however, that this can never happen for a plane domain, and also prove that, in contrast to a result of Wiegerinck, a Reinhardt domain cannot have a nonzero finite-dimensional Bergman space. (en)
Title
  • Singular Berezin transforms
  • Singular Berezin transforms (en)
  • Singulární Berezinovy transformace (cs)
skos:prefLabel
  • Singular Berezin transforms
  • Singular Berezin transforms (en)
  • Singulární Berezinovy transformace (cs)
skos:notation
  • RIV/67985840:_____/07:00093112!RIV08-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 533;548
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  • P(IAA1019304), Z(AV0Z10190503), Z(MSM4781305904)
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  • RIV/67985840:_____/07:00093112
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  • Berezin transform; Bergman kernel; Reinhardt domain (en)
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  • CH - Švýcarská konfederace
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  • [2DC36E81B702]
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  • Complex Analysis and Operator Theory
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  • 1
http://linked.open...iv/tvurceVysledku
  • Engliš, Miroslav
http://linked.open...n/vavai/riv/zamer
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  • 1661-8254
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