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Keywords:
polydisk; diagonal mapping; Hardy classes; holomorphic spaces
polydisk; diagonal mapping; Hardy classes; holomorphic spaces
Summary:
We present a description of the diagonal of several spaces in the polydisk. We also generalize some previously known contentions and obtain some new assertions on the diagonal map using maximal functions and vector valued embedding theorems, and integral representations based on finite Blaschke products. All our results were previously known in the unit disk.
References:
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