Book 2014

A Course on Integration Theory

including more than 150 exercises with detailed answers

Authors:

ISBN: 978-3-0348-0693-0 (Print) 978-3-0348-0694-7 (Online)

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xviii

  2. No Access

    Chapter

    Pages 1-66

    General Theory of Integration

  3. No Access

    Chapter

    Pages 67-123

    Actual Construction of Measure Spaces

  4. No Access

    Chapter

    Pages 125-187

    Spaces of Integrable Functions

  5. No Access

    Chapter

    Pages 189-217

    Integration on a Product Space

  6. No Access

    Chapter

    Pages 219-281

    Diffeomorphisms of Open Subsets of ℝ n and Integration

  7. No Access

    Chapter

    Pages 283-316

    Convolution

  8. No Access

    Chapter

    Pages 317-341

    Complex Measures

  9. No Access

    Chapter

    Pages 343-370

    Basic Harmonic Analysis on ℝ n

  10. No Access

    Chapter

    Pages 371-406

    Classical Inequalities

  11. No Access

    Chapter

    Pages 407-479

    Appendix

  12. Back Matter

    Pages 481-492