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Introduction to Hp Spaces (Cambridge Tracts in Mathematics, Series Number 115) - Softcover

 
9780521056816: Introduction to Hp Spaces (Cambridge Tracts in Mathematics, Series Number 115)

Synopsis

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). This second edition retains many of the features found in the first--detailed computation, an emphasis on methods--but greatly extends its coverage. The discussions of conformal mapping now include Lindelöf's second theorem and the one due to Kellogg. A simple derivation of the atomic decomposition for RH1 is given, and then used to provide an alternative proof of Fefferman's duality theorem. Two appendices by V.P. Havin have also been added: on Peter Jones' interpolation formula for RH1 and on Havin's own proof of the weak sequential completeness of L1/H1(0). Numerous other additions, emendations and corrections have been made throughout.

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Book Description

The new edition of this well known book remains a clear and accessible exposition of the basic theory of Hardy spaces. The coverage has been extended with the inclusion of two appendices; in addition numerous amendments, additions and corrections have been made throughout.

Review

"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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  • PublisherCambridge University Press
  • Publication date2008
  • ISBN 10 0521056810
  • ISBN 13 9780521056816
  • BindingPaperback
  • LanguageEnglish
  • Edition number2
  • Number of pages304

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9780521455213: Introduction to Hp Spaces (Cambridge Tracts in Mathematics, Series Number 115)

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Paperback. Condition: new. Paperback. 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. 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). This second edition retains many of the features found in the first—detailed computation, an emphasis on methods—but greatly extends its coverage. The discussions of conformal mapping now include Lindelof's second theorem and the one due to Kellogg. A simple derivation of the atomic decomposition for RH1 is given, and then used to provide an alternative proof of Fefferman's duality theorem. Two appendices by V.P. Havin have also been added: on Peter Jones' interpolation formula for RH1 and on Havin's own proof of the weak sequential completeness of L1/H1(0). Numerous other additions, emendations and corrections have been made throughout. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521056816

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