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The Isometries of Hp

Published online by Cambridge University Press:  20 November 2018

Frank Forelli
Frank Forelli*
Affiliation:
University of Wisconsin
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Let a be the Lebesgue measure on the unit circle |z| = 1 with

and let Lp be the space of complex-valued σ-measurable functions f such that

is finite. Hp is the closure in Lp of the algebra of analytic polynomials

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 16 , 1964 , pp. 721 - 728
Copyright
Copyright © Canadian Mathematical Society 1964

References

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4. Hoffman, Kenneth, Banach spaces of analytic functions (Englewood Cliffs, 1962).Google Scholar
5. Lamperti, John, On the isometries of some function spaces, Pacific J. Math., 8 (1958), 459–466.Google Scholar