Abstract
In the paper a general method is developed which allows to show that a nuclear Kothe space is a Frechet envelope of another “sequence space”. Applying this method we describe the locally convex structure of Hardy Np*(D), maximal Hardy MNp* (D), Bergman p(D), and Lumer's Hardy LNp* (D) algebras of any domain D being a product of balls in ℂ (in particular for the unit ball and the unit polydisc in ℂn).
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