An introductory course in Lebesgue spaces

• 作者： Castillo, Rene Erlin, author.
• 其他作者：
  • Rafeiro, Humberto, author.
  • SpringerLink (Online service)
• 其他題名：
  • CMS books in mathematics.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： CMS books in mathematics,
• 主題： Harmonic analysis. , Lebesgue integral. , Algebraic spaces. , Differential equations, Partial. , Mathematics. , Abstract Harmonic Analysis. , Functional Analysis.
• ISBN： 9783319300344 (electronic bk.) 、 9783319300320 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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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• 摘要註: 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.
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