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- W2051222651 abstract "The spaces of boundary values of vector-valued functions in Hardy spaces defined by either holomorphic functions on the disk or harmonic functions with maximal function in Lp are characterized in terms of vector-valued measures of bounded p-variation. We extend to the case p = 1 a characterization of the Radon-Nikodym property based on the existence of limits at the boundary for harmonic functions with maximal function in L1. In the case 0 < p ⩽ 1 we find the UMD property as the necessary and sufficient condition to make the spaces defined by maximal function and by conjugate Poisson kernel coincide." @default.
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- W2051222651 date "1988-06-01" @default.
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- W2051222651 title "Boundary values of functions in vector-valued Hardy spaces and geometry on Banach spaces" @default.
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- W2051222651 doi "https://doi.org/10.1016/0022-1236(88)90123-1" @default.
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