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Hölder and locally Hölder continuous functions, and open sets of class C^k, C^{k,lambda}

This book offers a systematic treatment of a classic topic in Analysis. It fills a gap in the existing literature by presenting in detail the classic λ-Hölder condition and introducing the notion of locally Hölder-continuous function in an open set Ω in Rn. Further, it provides the essential notions...

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Detalles Bibliográficos
Autor principal: Fiorenza, Renato
Lenguaje:eng
Publicado: Springer 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-47940-8
http://cds.cern.ch/record/2243869
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author Fiorenza, Renato
author_facet Fiorenza, Renato
author_sort Fiorenza, Renato
collection CERN
description This book offers a systematic treatment of a classic topic in Analysis. It fills a gap in the existing literature by presenting in detail the classic λ-Hölder condition and introducing the notion of locally Hölder-continuous function in an open set Ω in Rn. Further, it provides the essential notions of multidimensional geometry applied to analysis. Written in an accessible style and with proofs given as clearly as possible, it is a valuable resource for graduate students in Mathematical Analysis and researchers dealing with Hölder-continuous functions and their applications.
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spelling cern-22438692021-04-21T19:21:27Zdoi:10.1007/978-3-319-47940-8http://cds.cern.ch/record/2243869engFiorenza, RenatoHölder and locally Hölder continuous functions, and open sets of class C^k, C^{k,lambda}Mathematical Physics and MathematicsThis book offers a systematic treatment of a classic topic in Analysis. It fills a gap in the existing literature by presenting in detail the classic λ-Hölder condition and introducing the notion of locally Hölder-continuous function in an open set Ω in Rn. Further, it provides the essential notions of multidimensional geometry applied to analysis. Written in an accessible style and with proofs given as clearly as possible, it is a valuable resource for graduate students in Mathematical Analysis and researchers dealing with Hölder-continuous functions and their applications.Springeroai:cds.cern.ch:22438692016
spellingShingle Mathematical Physics and Mathematics
Fiorenza, Renato
Hölder and locally Hölder continuous functions, and open sets of class C^k, C^{k,lambda}
title Hölder and locally Hölder continuous functions, and open sets of class C^k, C^{k,lambda}
title_full Hölder and locally Hölder continuous functions, and open sets of class C^k, C^{k,lambda}
title_fullStr Hölder and locally Hölder continuous functions, and open sets of class C^k, C^{k,lambda}
title_full_unstemmed Hölder and locally Hölder continuous functions, and open sets of class C^k, C^{k,lambda}
title_short Hölder and locally Hölder continuous functions, and open sets of class C^k, C^{k,lambda}
title_sort hölder and locally hölder continuous functions, and open sets of class c^k, c^{k,lambda}
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-47940-8
http://cds.cern.ch/record/2243869
work_keys_str_mv AT fiorenzarenato holderandlocallyholdercontinuousfunctionsandopensetsofclassckcklambda