# 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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