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Note on Vector Valued Hardy Spaces Related to Analytic Functions Having Distributional Boundary Values

Note on Vector Valued Hardy Spaces Related to Analytic Functions Having Distributional Boundary Values

Analytic functions defined on a tube domain $$T^{C}\subset \mathbb {C}^{n}$$ and taking values in a Banach space X which are known to have X-valued distributional boundary values are shown to be in the Hardy space H p(T C, X) if the boundary value is in the vector valued Lebesgue space …