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An Introductory Course in Lebesgue Spaces

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Introductory Course in Lebesgue Spaces/ by Rene Erlin Castillo, Humberto Rafeiro.
作者:	Castillo, Rene Erlin.
其他作者:	Rafeiro, Humberto.
面頁冊數:	XII, 461 p. 14 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Harmonic analysis. -
電子資源:	https://doi.org/10.1007/978-3-319-30034-4
ISBN:	9783319300344

An Introductory Course in Lebesgue Spaces
Castillo, Rene Erlin.

An Introductory Course in Lebesgue Spaces[electronic resource] /by Rene Erlin Castillo, Humberto Rafeiro. - 1st ed. 2016. - XII, 461 p. 14 illus.online resource. - CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,1613-5237. - CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,.

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

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

672073
Harmonic analysis.

LC Class. No.: QA403-403.3

Dewey Class. No.: 515.785

An Introductory Course in Lebesgue Spaces
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