Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 3, Number 1 (2009), 68-84.
On some properties of a differential operator on the polydisk
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.
Banach J. Math. Anal. Volume 3, Number 1 (2009), 68-84.
First available in Project Euclid: 21 April 2009
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Shamoyan, Romi; Li, Songxiao. On some properties of a differential operator on the polydisk. Banach J. Math. Anal. 3 (2009), no. 1, 68--84. doi:10.15352/bjma/1240336425. https://projecteuclid.org/euclid.bjma/1240336425