The theory of Hardy spaces dates back to G.H. Hardy and M. Riesz in the early twentieth century. Part of the inspiration here is the celebrated theorem of P. Fatou that a bounded holomorphic function on the unit disk D has radial (indeed nontangential) boundary limits almost everywhere. Hardy and Riesz wished to expand the space of holomorphic functions for which such results could be obtained.
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© 2009 Birkhäuser Boston, a part of Springer Science+Business Media, LLC
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Krantz, S.G. (2009). Hardy Spaces Old and New. In: Explorations in Harmonic Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4669-1_8
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DOI: https://doi.org/10.1007/978-0-8176-4669-1_8
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