An Introductory Course in Lebesgue Spaces
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Beschreibung
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.
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.
Introduces reader to recent topics in spaces of measurable functions Includes section of problems at the end of each chapter ? Content allows for use with mixed-level classes Includes non-standard function spaces, viz. variable exponent Lebesgue spaces and grand Lebesgue spaces Includes supplementary material: sn.pub/extras
Autor*in
Rene Erlin Castillo
Themen in »An Introductory Course in Lebesgue Spaces«
Convex functions Lebesgue spaces Lorentz spaces Variable exponent Lebesgue spaces Grand Lebesgue spaces Interpolation of operators Maximal operator
Stimmen zu »An Introductory Course in Lebesgue Spaces«
“The book under review is dedicated solely to Lebesgue spaces and their direct derivatives … . The book may be recommended to graduate students and non-specialists in the area of function spaces. … Each chapter is concluded with an extensive list of problems and short bibliographic notes. … The book ends with a list of 86 references and with symbol and subject indices.” (Alexei Yu. Karlovich, zbMATH 1352.46003, 2017)
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