Introduction to Hp spaces / Paul Koosis ; with two appendices by V. P. HavinType de document : MonographieCollection : Cambridge tracts in mathematics, 115Langue : anglais.Pays : Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 1998Description : 1 vol. (XIV-287 p.) : ill. ; 24 cmISBN : 0521455219.ISSN : 0950-6284.Bibliographie : Bibliogr. p. -285. Index.Sujet MSC : 30H10, Functions of a complex variable -- Spaces and algebras of analytic functions, Hardy spaces
30-02, Functions of a complex variable, Research exposition (monographs, survey articles)
46E15, Functional analysis -- Linear function spaces and their duals, Banach spaces of continuous, differentiable or analytic functionsEn-ligne : MathSciNet
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The new edition incorporates corrections, has improved typography and graphics, and adds some new material, notably theorems of E. Lindelöf and O. D. Kellogg on the boundary behavior of Riemann maps, and a derivation of the atomic decomposition of the space H1. Also included are two appendices written by V. P. Khavin for the Russian translation of the original edition. They contain P. Jones's proof of L. Carleson's interpolation theorem, and a proof of the weak sequential completeness of the space L1/H10, a result of Khavin and M. Mooney. The appendices were translated into English by the author.
The reviewer, who also reviewed the original edition, feels compelled to re-express his admiration for this volume. The author's lucid and highly individualistic style succeeds wonderfully in conveying the beauty and depth of a most fascinating area of classical analysis. (MathSciNet)
Bibliogr. p. -285. Index