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[null,"1.","Record Nr.",null,"UNINA9910787601603321"]
[null,null,"Autore",null,"Pavlović Miroslav"]
[null,null,"Titolo",null,"Function classes on the unit disc : an introduction / / Miroslav Pavlović"]
[null,null,"Pubbl/distr/stampa",null,"Berlin : , : De Gruyter, , [2014]"]
[{"$nulls":4},"©2014"]
[null,null,"ISBN",null,"3-11-028190-2"]
[null,null,"Descrizione fisica",null,"1 online resource (463 p.)"]
[null,null,"Collana",null,"De Gruyter Studies in Mathematics ; ; 52"]
[null,null,"Classificazione",null,"SK 600"]
[null,null,"Disciplina",null,"510"]
[null,null,"Soggetti",null,"Functional analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Front matter -- Preface / Pavlović, Miroslav -- Contents -- 1. The Poisson integral and Hardy spaces -- 2. Subharmonic functions and Hardy spaces -- 3. Subharmonic behavior and mixed norm spaces -- 4. Taylor coefficients with applications -- 5. Besov spaces -- 6. The dual of H1 and some related spaces -- 7. Littlewood-Paley theory -- 8. Lipschitz spaces of first order -- 9. Lipschitz spaces of higher order -- 10. One-to-one mappings -- 11. Coefficients multipliers -- 12. Toward a theory of vector-valued spaces -- A. Quasi-Banach spaces -- B. Interpolation and maximal functions -- Bibliography -- Index"]
[null,null,null,"Sommario/riassunto","This monograph contains a study on various function classes, a number of new results and new or easy proofs of old results (Fefferman-Stein theorem on subharmonic behavior, theorems on conjugate functions and fractional integration on Bergman spaces, Fefferman's duality theorem), which are interesting for specialists; applications of the Hardy-Littlewood inequalities on Taylor coefficients to (C, α)-maximal theorems and (C, α)-convergence; a study of BMOA, due to Knese, based only on Green's formula; the problem of membership of singular inner functions in Besov and Hardy-Sobolev spaces; a full discussion of g-function (all p › 0) and Calderón's area theorem;  a new proof, due to Astala and Koskela, of the Littlewood-Paley inequality for univalent functions; and new results and proofs on Lipschitz spaces, coefficient multipliers and duality, including compact multipliers and multipliers on spaces with non-normal weights. It also contains a discussion of analytic functions and lacunary series with values in quasi-Banach spaces with applications to function spaces and composition operators. Sixteen open questions are posed. The reader is assumed to have a "]
[{"$nulls":4},"good foundation in Lebesgue integration, complex analysis, functional analysis, and Fourier series. Further information can be found at the author's website at http://poincare.matf.bg.ac.rs/~pavlovic."]