On the dual space of \(H^ p(X)\), \(1

DOI10.1016/0022-1236(90)90055-PzbMath0734.46026MaRDI QIDQ810825

Wolfgang Hensgen

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

dual spaceLebesgue-Bochner spacebad behaviour of the analytic projectionHardy type subspacespace of antianalytic functionsUMD class of Banach spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (4)

Dilation properties of measurable Schur multipliers and Fourier multipliers ⋮ Atomic decomposition of vector Hardy spaces ⋮ The failure of Fatou's theorem on Poisson integrals of Pettis integrable functions ⋮ Bohr phenomenon for operator-valued functions

Cites Work

• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Characterization of Poisson integrals of vector-valued functions and measures on the unit circle
• Boundary values of functions in vector-valued Hardy spaces and geometry on Banach spaces
• Hardy spaces of vector-valued functions
• Some boundary properties of sequences of vector-valued analytic functions
• Boundary properties of analytic and harmonic functions with values in Banach space
• A unifying Radon-Nikodym theorem for vector measures
• On Orlicz sequence spaces. II
• On Complementation of Vector-Valued Hardy Spaces
• Hardy Spaces of Vector-Valued Functions: Duality
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• Unconditional bases and martingales in L_P(F)
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