The classical H p spaces are defined for 0 < p < ∞ to consist of those functions f, holomorphic in the right half-plane, with the property that µ p(f, x) is bounded for x>0, where
$$ {\mu _p}(f,x) = {\left\{ {\frac{1} {{2\pi }}\int\limits_{ - \infty }^\infty {\left| {f{{(x + iy)}^p}dy} \right|} } \right\}^{1/p}} $$


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Copyright information

© Springer Basel AG 1969

Authors and Affiliations

  • P. G. Rooney
    • 1
  1. 1.University of TorontoCanada

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