Hardy Spaces Old and New

  • Steven G. Krantz
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

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.


Holomorphic Function Hardy Space Maximal Function Singular Integral Operator Blaschke Product 
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Copyright information

© Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Dept. MathematicsWashington UniversitySt.LouisUSA

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