A maximum principle for the Bergman space.
Korenblum, Boris
Publicacions Matemàtiques, Tome 35 (1991), p. 479-486 / Harvested from Biblioteca Digital de Matemáticas
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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).

Publié le : 1991-01-01
DMLE-ID : 4201 
@article{urn:eudml:doc:41707,
     title = {A maximum principle for the Bergman space.},
     journal = {Publicacions Matem\`atiques},
     volume = {35},
     year = {1991},
     pages = {479-486},
     mrnumber = {MR1201570},
     zbl = {0758.30020},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41707}
}

Korenblum, Boris. A maximum principle for the Bergman space.. Publicacions Matemàtiques, Tome 35 (1991) pp. 479-486. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41707/