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101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 13$aAn Introductory Course in Lebesgue Spaces /$fby Rene Erlin Castillo, Humberto Rafeiro
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (XII, 461 p. 14 illus.) 
225 1 $aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,$x1613-5237
311 08$a3-319-30032-6 
327   $aConvex 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.
330   $aThis book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers.
410  0$aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,$x1613-5237
606   $aHarmonic analysis
606   $aFunctional analysis
606   $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
615  0$aHarmonic analysis.
615  0$aFunctional analysis.
615 14$aAbstract Harmonic Analysis.
615 24$aFunctional Analysis.
676   $a515.785
700   $aCastillo$b Rene Erlin$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755823
702   $aRafeiro$b Humberto$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
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906   $aBOOK
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996   $aAn Introductory Course in Lebesgue Spaces$92174089
997   $aUNINA