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- W2023184843 abstract "Let X be a complex Banach space and 1 < p < ∞. L p ( X ) is the Lebesgue-Bochner space of X -valued integrable functions on the circle and H p ( X ) its Hardy type subspace {f ϵ L p (X): ̂ tf(n) = 0 ∀n < 0} . After studying the analytic (or Riesz) projection of X -valued functions, a representation of the dual space of H p ( X ) as a space of antianalytic functions on the disc is given which generalizes a result of Bukhvalov. Examples are constructed for bad behaviour of the analytic projection and of functions in this dual space if X does not belong to the well-known UMD class of Banach spaces." @default.
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- W2023184843 date "1990-09-01" @default.
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- W2023184843 title "On the dual space of Hp(X), 1 < p < ∞" @default.
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- W2023184843 doi "https://doi.org/10.1016/0022-1236(90)90055-p" @default.
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