An introductory course in lebesgue spaces

著者

書誌事項

An introductory course in lebesgue spaces

René Erlín Castillo, Humberto Rafeiro

(CMS books in mathematics)(Canadian mathematical society = Société mathématique du Canada)

Springer, c2016

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注記

Includes bibliographical references (p. 451-455) and indexes

内容説明・目次

内容説明

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.

目次

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.

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詳細情報

  • NII書誌ID(NCID)
    BB21624887
  • ISBN
    • 9783319300320
  • LCCN
    2016935410
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [Cham]
  • ページ数/冊数
    xii, 461 p.
  • 大きさ
    25 cm
  • 親書誌ID
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