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An introductory course in Lebesgue s...

Castillo, Rene Erlin.

An introductory course in Lebesgue spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An introductory course in Lebesgue spacesby Rene Erlin Castillo, Humberto Rafeiro.
作者:	Castillo, Rene Erlin.
其他作者:	Rafeiro, Humberto.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xii, 461 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Harmonic analysis.
電子資源:	http://dx.doi.org/10.1007/978-3-319-30034-4
ISBN:	9783319300344$q(electronic bk.)

An introductory course in Lebesgue spaces
Castillo, Rene Erlin.

An introductory course in Lebesgue spaces[electronic resource] /by Rene Erlin Castillo, Humberto Rafeiro. - Cham :Springer International Publishing :2016. - xii, 461 p. :ill., digital ;24 cm. - CMS books in mathematics,1613-5237. - CMS books in mathematics..

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.

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.

ISBN: 9783319300344$q(electronic bk.)

Standard No.: 10.1007/978-3-319-30034-4doiSubjects--Topical Terms:

189705
Harmonic analysis.

LC Class. No.: QA403

Dewey Class. No.: 515.785

An introductory course in Lebesgue spaces
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520 $a 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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