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The Kernel of a Hankel Operator on the Bergman Space
Author(s) -
Das Namita
Publication year - 1999
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609398004949
Subject(s) - bergman space , mathematics , bergman kernel , mathematics subject classification , hankel matrix , invariant subspace , reproducing kernel hilbert space , pure mathematics , rank (graph theory) , operator (biology) , kernel (algebra) , subspace topology , linear subspace , invariant (physics) , invariant subspace problem , hankel transform , space (punctuation) , algebra over a field , mathematical analysis , operator space , finite rank operator , hilbert space , combinatorics , banach space , mathematical physics , computer science , repressor , chemistry , operating system , biochemistry , transcription factor , bounded function , gene , bessel function
In this paper we characterise the kernel of a little Hankel operator on the Bergman spaceL a 2 ( D )in terms of the inner divisors, and obtain a characterisation for finite rank little Hankel operators using the invariant subspace theory technique. 1991 Mathematics Subject Classification 47B35.