Pointwise multipliers and corona type decomposition in BMOA
Annales de l'Institut Fourier, Volume 46 (1996) no. 1, pp. 111-137.

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.

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.

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     author = {Ortega, J. M. and F\`abrega, Joan},
     title = {Pointwise multipliers and corona type decomposition in $BMOA$},
     journal = {Annales de l'Institut Fourier},
     pages = {111--137},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {46},
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     year = {1996},
     doi = {10.5802/aif.1509},
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     url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1509/}
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Ortega, J. M.; Fàbrega, Joan. Pointwise multipliers and corona type decomposition in $BMOA$. Annales de l'Institut Fourier, Volume 46 (1996) no. 1, pp. 111-137. doi : 10.5802/aif.1509. https://aif.centre-mersenne.org/articles/10.5802/aif.1509/

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