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  • Cited by 12
  • 2nd edition
  • Paul Koosis, McGill University, Montréal
Publisher:
Cambridge University Press
Online publication date:
September 2009
Print publication year:
1999
Online ISBN:
9780511470950

Book description

The first edition of this well known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete point of view (in the unit circle and the half plane). The intention was to give the reader, assumed to know basic real and complex variable theory and a little functional analysis, a secure foothold in the basic theory, and to understand its applications in other areas. For this reason, emphasis is placed on methods and the ideas behind them rather than on the accumulation of as many results as possible. The second edition retains that intention, but the coverage has been extended. The author has included two appendices by V. P. Havin, on Peter Jones' interpolation formula, and Havin's own proof of the weak sequential completeness of L1/H1(0); in addition, numerous amendments, additions and corrections have been made throughout.

Reviews

"The author's lucid and highly individualistic style succeeds wonderfully in conveying the beauty and depth of a most fascinating area of classical analysis." Mathematical Reviews

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