A Course on Function Spaces

A Course on Function Spaces
Author :
Publisher : Springer
Total Pages : 0
Release :
ISBN-10 : 3030806421
ISBN-13 : 9783030806422
Rating : 4/5 (422 Downloads)

Book Synopsis A Course on Function Spaces by : Dominic Breit

Download or read book A Course on Function Spaces written by Dominic Breit and published by Springer. This book was released on 2023-02-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


A Course on Function Spaces Related Books

A Course on Function Spaces
Language: en
Pages: 0
Authors: Dominic Breit
Categories: Mathematics
Type: BOOK - Published: 2023-02-06 - Publisher: Springer

GET EBOOK

This textbook provides a thorough-yet-accessible introduction to function spaces, through the central concepts of integrability, weakly differentiability and fr
An Introductory Course in Lebesgue Spaces
Language: en
Pages: 463
Authors: Rene Erlin Castillo
Categories: Mathematics
Type: BOOK - Published: 2016-06-23 - Publisher: Springer

GET EBOOK

This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribu
Operator Theory in Function Spaces
Language: en
Pages: 368
Authors: Kehe Zhu
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

GET EBOOK

This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and
Function Spaces, 1
Language: en
Pages: 495
Authors: Luboš Pick
Categories: Mathematics
Type: BOOK - Published: 2012-12-19 - Publisher: Walter de Gruyter

GET EBOOK

This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk F
Theory of Function Spaces II
Language: en
Pages: 388
Authors: Hans Triebel
Categories: Science
Type: BOOK - Published: 1992-04-02 - Publisher: Springer Science & Business Media

GET EBOOK

Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many w