. "533;548" . "Complex Analysis and Operator Theory" . . . . "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 . "Singul\u00E1rn\u00ED Berezinovy transformace"@cs . "CH - \u0160v\u00FDcarsk\u00E1 konfederace" . "P(IAA1019304), Z(AV0Z10190503), Z(MSM4781305904)" . "1661-8254" . "Singular Berezin transforms"@en . "1" . "[2DC36E81B702]" . "RIV/67985840:_____/07:00093112" . "1"^^ . "Singular Berezin transforms" . . . . . . "1"^^ . . . . "450053" . "Engli\u0161, Miroslav" . "4" . "Singular Berezin transforms"@en . . "Singul\u00E1rn\u00ED Berezinovy transformace"@cs . . . . "Berezin transform; Bergman kernel; Reinhardt domain"@en . "Jsou sestrojeny p\u0159\u00EDklady oblasti, jejich\u017E Berezinova transformace nen\u00ED shlazuj\u00EDc\u00ED zobrazen\u00ED, proto\u017Ee jej\u00ED integr\u00E1ln\u00ED j\u00E1dro m\u00E1 singularity. Ukazuje se nicm\u00E9n\u011B, \u017Ee toto nem\u016F\u017Ee nastat v p\u0159\u00EDpad\u011B rovinn\u00FDch oblast\u00ED. Krom toho je dok\u00E1z\u00E1no, \u017Ee v kontrastu s v\u00FDsledkem J. Wiegerincka, \u017E\u00E1dn\u00E1 Reinhardtova oblast nem\u016F\u017Ee m\u00EDt nenulov\u00FD kone\u010Dn\u011B-dimenzion\u00E1ln\u00ED Bergman\u016Fv prostor."@cs . . "16"^^ . "RIV/67985840:_____/07:00093112!RIV08-AV0-67985840" . "Singular Berezin transforms" . .