Hardy classes on infinitely connected Riemann surfaces / Morisuke Hasumi
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1027Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1983ISBN: 9783540127291.ISSN: 1617-9692.Sujet MSC : 30F25, Functions of a complex variable - Riemann surfaces, Ideal boundary theory30Fxx, Functions of a complex variable - Riemann surfaces
30-02, Research exposition (monographs, survey articles) pertaining to functions of a complex variable
46J15, Functional analysis - Commutative Banach algebras and commutative topological algebras, Banach algebras of differentiable or analytic functions, Hp-spacesEn-ligne : Springerlink | MathSciNet
The main subject of these lecture notes is the study of Hardy classes on Parreau-Widom surfaces, a class of Riemann surfaces introduced by Parreau in his thesis and later in another form by H. Widom . These noncompact surfaces share many of the properties of the unit disk in relation to the Hardy classes, spaces of harmonic functions, and boundary values. The author of these notes, who has contributed to this theory through a number of important papers, has done a service by gathering together all of the main results of this subject, by providing detailed proofs of these results, and by adding new results as well. ... (MathSciNet)
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