Geodesic
Bourgain Algebras of Spaces of n-Harmonic Functions in the Unit Polydisk
Canadian mathematical bulletin, Tome 39 (1996) no. 3, pp. 284-293

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DOI

Let h∞ (Dn ) denote the space of all bounded n-harmonic functions on the unit polydisk Dn of Cn . In this paper we prove that the Bourgain algebra h∞(Dn)b and h∞(Dn)bb relative to the Lebesgue space L∞(Dn) are of the following forms: Here V(Dn) is the space of those functions such that , where denotes the characteristic function of a subset E of Dn .
DOI : 10.4153/CMB-1996-036-6
Mots-clés : Primary: 32A35, Secondary: 46J15 
Izuchi, Keiji; Kasuga, Kazuhiro. Bourgain Algebras of Spaces of n-Harmonic Functions in the Unit Polydisk. Canadian mathematical bulletin, Tome 39 (1996) no. 3, pp. 284-293. doi: 10.4153/CMB-1996-036-6
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     title = {Bourgain {Algebras} of {Spaces} of {n-Harmonic} {Functions} in the {Unit} {Polydisk}},
     journal = {Canadian mathematical bulletin},
     pages = {284--293},
     year = {1996},
     volume = {39},
     number = {3},
     doi = {10.4153/CMB-1996-036-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-036-6/}
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