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An Introductory Course in Lebesgue Spaces

An Introductory Course in Lebesgue Spaces
Catalogue Information
Field name Details
Dewey Class 515.785
Title An Introductory Course in Lebesgue Spaces ([EBook]) / by Rene Erlin Castillo, Humberto Rafeiro.
Author Castillo, Rene Erlin
Added Personal Name Rafeiro, Humberto author.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details XII, 461 p. 14 illus. : online resource.
Series CMS Books in Mathematics, Ouvrages de mathématiques de la SMC 1613-5237
ISBN 9783319300344
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-30034-4
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