Solutions for the H∞(Dn) Corona Problem Belonging to exp(L1/2n-1.

For a countable number of input functions in H∞ (Dn), we find explicit analytic solutions belonging to the Orlicz-type space, $$ \exp (L^{\tfrac{1} {{2n - 1}}} ) $$. Note that $$ H^\infty (D^n ) - BMO(D^n ) \subsetneqq \exp (L^{\tfrac{1} {{2n - 1}}} ) \subsetneqq \cap _1^\infty H^p (D^n ) $$ [ABSTRACT FROM AUTHOR]