Factorization of functions in weighted Bergman spaces

Charles Horowitz; Yehudah Schnaps

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2000)

  • Volume: 29, Issue: 4, page 891-903
  • ISSN: 0391-173X

How to cite

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Horowitz, Charles, and Schnaps, Yehudah. "Factorization of functions in weighted Bergman spaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 29.4 (2000): 891-903. <http://eudml.org/doc/84431>.

@article{Horowitz2000,
author = {Horowitz, Charles, Schnaps, Yehudah},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Bergman spaces; submultiplicative weight; stability; Blaschke products; factorization theorem},
language = {eng},
number = {4},
pages = {891-903},
publisher = {Scuola normale superiore},
title = {Factorization of functions in weighted Bergman spaces},
url = {http://eudml.org/doc/84431},
volume = {29},
year = {2000},
}

TY - JOUR
AU - Horowitz, Charles
AU - Schnaps, Yehudah
TI - Factorization of functions in weighted Bergman spaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2000
PB - Scuola normale superiore
VL - 29
IS - 4
SP - 891
EP - 903
LA - eng
KW - Bergman spaces; submultiplicative weight; stability; Blaschke products; factorization theorem
UR - http://eudml.org/doc/84431
ER -

References

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  1. [1] C. Horowitz, Zeros of functions in the Bergman spaces, Duke Math. J.41 (1974), 693-710. Zbl0293.30035MR357747
  2. [2] C. Horowitz, Factorization theorem for functions in the Bergman spaces, Duke Math. J.44 (1977),201-213. Zbl0362.30031MR427650
  3. [3] C. Horowitz, Zero sets and radial zero sets in some function spaces, J. Analyse Math.65 (1995), 145-159. Zbl0837.30008MR1335372
  4. [4] T.L. Kriete, B.D. Maccluer, Composition operators on large weighted Bergman spaces, Indiana Univ. Math. J.41 (1992), no. 3, 755-788. Zbl0772.30043MR1189910
  5. [5] T.L. Kriete, Kernel functions and composition operators in weighted Bergman spaces, Contemp. Math.213 (1998), 73-91. Zbl0898.47028MR1601076
  6. [6] K. Zhu, "Operator Theory in Function Spaces", Marcel, Dekker, 1990. Zbl0706.47019MR1074007

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