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Uniform algebras generated by holomorphic and pluriharmonic functions
1993
Transactions of the American Mathematical Society
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It is shown that if fx, ... , fn are pluriharmonicon B" (the open unitballin C) and C1 on Bn , and the nxn matrix (dfi/dlf) isinvertible at every point of B" , then the norm-closed algebra generated by the ball algebra A(B") and fx, ... , fn is equal to C{B"). Extensions of this result to more general strictly pseudoconvex domains are also presented.
doi:10.1090/s0002-9947-1993-1139494-6
fatcat:ks5zbq7wpjdhhiud6lfmlchxoy