A maximum principle for the Bergman space.
Publicacions Matemàtiques (1991)
- Volume: 35, Issue: 2, page 479-486
- ISSN: 0214-1493
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topKorenblum, Boris. "A maximum principle for the Bergman space.." Publicacions Matemàtiques 35.2 (1991): 479-486. <http://eudml.org/doc/41707>.
@article{Korenblum1991,
abstract = {Let f(z) and g(z) be holomorphic in the open unit disk D and let Zf and Zg be their zero sets. If Zf ⊃ Zg and |f(z)| ≥ |g(z)| (1/2 e-2 < |z| < 1), then || f || ≥ || g || where || · || is the Bergman norm: || f ||2 = π-1 ∫D |f(z)|2 dm (dm is the Lebesgue area measure).},
author = {Korenblum, Boris},
journal = {Publicacions Matemàtiques},
keywords = {maximumprinciple; zero; Lebesgue measure},
language = {eng},
number = {2},
pages = {479-486},
title = {A maximum principle for the Bergman space.},
url = {http://eudml.org/doc/41707},
volume = {35},
year = {1991},
}
TY - JOUR
AU - Korenblum, Boris
TI - A maximum principle for the Bergman space.
JO - Publicacions Matemàtiques
PY - 1991
VL - 35
IS - 2
SP - 479
EP - 486
AB - Let f(z) and g(z) be holomorphic in the open unit disk D and let Zf and Zg be their zero sets. If Zf ⊃ Zg and |f(z)| ≥ |g(z)| (1/2 e-2 < |z| < 1), then || f || ≥ || g || where || · || is the Bergman norm: || f ||2 = π-1 ∫D |f(z)|2 dm (dm is the Lebesgue area measure).
LA - eng
KW - maximumprinciple; zero; Lebesgue measure
UR - http://eudml.org/doc/41707
ER -
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