Pointwise multipliers and corona type decomposition in BMOA
Ortega, J. M. ; Fàbrega, Joan
Annales de l'Institut Fourier, Tome 46 (1996), p. 111-137 / Harvested from Numdam

Dans cet article nous obtenons plusieurs caractérisations des multiplicateurs ponctuels de l’espace BMOA dans la boule unité B de n . De plus, si g 1 ,...,g m sont des fonctions holomorphes dans B nous démontrons que l’application M g (f)(z)= j=1 m g j (z)f j (z) envoie BMOA×...×BMOA sur BMOA si et seulement si les fonctions g j sont multiplicateurs de l’espace BMOA et satisfont j=1 m |g j (z)|δ>0.

In this paper we obtain several characterizations of the pointwise multipliers of the space BMOA in the unit ball B of n . Moreover, if g 1 ,...,g m are holomorphic functions on B, we prove that M g (f)(z)= j=1 m g j (z)f j (z) maps BMOA×...×BMOA onto BMOA if and only if the functions g j are multipliers of the space BMOA and satisfy j=1 m |g j (z)|δ>0.

@article{AIF_1996__46_1_111_0,
     author = {Ortega, J. M. and F\`abrega, Joan},
     title = {Pointwise multipliers and corona type decomposition in $BMOA$},
     journal = {Annales de l'Institut Fourier},
     volume = {46},
     year = {1996},
     pages = {111-137},
     doi = {10.5802/aif.1509},
     mrnumber = {97k:32009},
     zbl = {0840.32001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1996__46_1_111_0}
}
Ortega, J. M.; Fàbrega, Joan. Pointwise multipliers and corona type decomposition in $BMOA$. Annales de l'Institut Fourier, Tome 46 (1996) pp. 111-137. doi : 10.5802/aif.1509. http://gdmltest.u-ga.fr/item/AIF_1996__46_1_111_0/

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