An Introductory Course in Lebesgue Spaces (Cms Books in Mathematics)

Castillo, Rene Erlin/ Rafeiro, Humberto

Springer International Publishing AG（2018/05発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 461 p.
• 言語 ENG
• 商品コード 9783319807096
• DDC分類 515.7

Full Description

This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers.

Contents

Convex Functions and Inequalities.- Lebesgue Sequence Spaces.- Lebesgue Spaces.- Distribution Function and Non-Increasing Rearrangement.- Weak Lebesgue Spaces.- Lorentz Spaces.- Non-Standard Lebesgue Spaces.- Interpolation of Operators.- Maximal Operator.- Integral Operators.- Convolution and Potentials.- Appendices.