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A Course on Function Spaces

Language EnglishEnglish
Book Paperback
Book A Course on Function Spaces Dominic Breit
Libristo code: 37629165
Publishers Springer, July 2023
This textbook provides a thorough-yet-accessible introduction to function spaces, through the centra... Full description
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This textbook provides a thorough-yet-accessible introduction to function spaces, through the central concepts of integrability, weakly differentiability and fractionally differentiability. In an essentially self-contained treatment the reader is introduced to Lebesgue, Sobolev and BV-spaces, before being guided through various generalisations such as Bessel-potential spaces, fractional Sobolev spaces and Besov spaces. Written with the student in mind, the book gradually proceeds from elementary properties to more advanced topics such as lower dimensional trace embeddings, fine properties and approximate differentiability, incorporating recent approaches. Throughout, the authors provide careful motivation for the underlying concepts, which they illustrate with selected applications from partial differential equations, demonstrating the relevance and practical use of function spaces.Assuming only multivariable calculus and elementary functional analysis, as conveniently summarised in the opening chapters, A Course in Function Spaces is designed for lecture courses at the graduate level and will also be a valuable companion for young researchers in analysis.

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About the book

Full name A Course on Function Spaces
Language English
Binding Book - Paperback
Date of issue 2023
Number of pages 815
EAN 9783030806422
ISBN 3030806421
Libristo code 37629165
Publishers Springer
Dimensions 155 x 235
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