indices. V Lemma 1.1.15. Let p> 1, q> 1 be such that (1/p) + (1/g) = 1. Young's inequality holds: (z"/p) + (y" /q) 2 zy for all z > 0 and y > 0. (1.3) The equality holds iff xP-1 = y iff z!/4 = y!/p iff xP = yl, %3D

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indices.
v Lemma 1.1.15. Let p> 1, q > 1 be such that (1/p)+ (1/g) = 1. Young's
inequality holds:
(zP/p) + (y"/g) Ty for all z>0 and y> 0.
(1.3)
The equality holds iff xP-1 = y iff '/4 = y!/p iff xP = y ,
%3D
Transcribed Image Text:indices. v Lemma 1.1.15. Let p> 1, q > 1 be such that (1/p)+ (1/g) = 1. Young's inequality holds: (zP/p) + (y"/g) Ty for all z>0 and y> 0. (1.3) The equality holds iff xP-1 = y iff '/4 = y!/p iff xP = y , %3D
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