Analysis, Second Edition
by Elliott H. Lieb, Michael Loss · American Mathematical Society, GSM vol. 14
AMS graduate text whose Chapter 2 is devoted to Lp-spaces and whose Chapters 3 and 4 develop the inequalities that make them useful, including rearrangement, Hölder, Young and Hardy-Littlewood-Sobolev, with proofs oriented toward PDE and mathematical physics.
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