A Course on Function Spaces I : Continuous and Integrable Functions - Dominic, Dr. Breit
eTextbook alternate format product

Instant online reading.
Don't wait for delivery!

Go digital and save!

A Course on Function Spaces I

Continuous and Integrable Functions

By: Dominic, Dr. Breit, Franz Gmeineder

Paperback | 11 November 2026

Sorry, we are not able to source the book you are looking for right now.

We did a search for other books with a similar title, however there were no matches. You can try selecting from a similar category, click on the author's name, or use the search box above to find your book.

This textbook is the first of a two-part set providing a thorough-yet-accessible introduction to the subject of function spaces. In this first volume, the core topics of spaces of continuous and integrable functions are covered in detail.

Starting from the familiar notions of continuous and smooth functions, the volume gradually progresses to advanced aspects of Lebesgue spaces and their relatives. Key aspects such as basic functional analytics properties, weak convergences and compactness are covered in detail, concluding with an introduction to the fundamentals of real and harmonic analysis. Throughout, the authors provide helpful motivation for the underlying concepts, which they illustrate with selected applications, demonstrating the relevance and practical use of function spaces.

Designed with the student in mind, this self-contained volume offers multiple syllabi, guiding readers from elementary properties to advanced topics. Visual learners will appreciate the inclusion of figures summarising key outcomes, proof strategies, and 'metaprinciples'. Assuming only multivariable calculus and elementary functional analysis, as conveniently summarised in the first chapters, this volume is designed for lecture courses at the graduate level and will also be a valuable companion for young researchers in analysis.

More in Real Analysis

FROM NUMBERS TO ANALYSIS : Constructions and Properties - RANA INDER K
A Course in Real Analysis : Textbooks in Mathematics - Hugo D. Junghenn

RRP $219.00

$192.75

12%
OFF
Real and Functional Analysis : Textbooks in Mathematics - Kenneth Kuttler
Real and Complex Analysis : Volume 1 - Christopher Apelian

RRP $204.00

$179.75

12%
OFF
Real Analysis with Economic Applications - Efe A. Ok
Real and Complex Analysis : Textbooks in Mathematics - Christopher Apelian

RRP $399.00

$341.75

14%
OFF
Universitext : Universitext - Juha Heinonen

$139.00

Principles of Real Analysis - Charalambos D. Aliprantis
Universitext : Universitext - Sterling K. Berberian

$119.00

Perfect Incompressible Fluids : C 14 C - Jean-Yves Chemin
Real Analysis - No Information Available

Paperback

RRP $109.95

$106.75

One-dimensional Variational Problems : An Introduction - Giuseppe  Buttazzo