We study the spectrum of certain Banach algebras of holomorphic functions defined on a domain Ω where ∂−-problems with certain estimates can be solved. We show that the projection of the spectrum onto Cn equals Ω−− and that the fibers over Ω are trivial. This is used to solve a corona problem in the special case where all but one generator are continuous up to the boundary.
NATURVETENSKAP -- Matematik (hsv//swe)
NATURAL SCIENCES -- Mathematics (hsv//eng)
NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)