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.
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