Source: Banach J. Math. Anal.
Volume 3, Number 1
We study the action and properties of a differential operator in the polydisk,
extending some classical results from the unit disk. Using so called dyadic
decomposition of the polydisk we find precise connections between quazinorms of
holomorphic function in the polydisk with quazinorms on the subframe and the
unit disk. All our results were previously well-known in the unit disk.
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