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− | a)<math>|h(x)| \leq (\int |f|^p)^(1/p)(\int |g|^q)^(1/q)</math> | + | a)<math>|h(x)| \leq (\int |f(x-y)|^p dy)^(1/p)(\int |g(y)|^q dy)^(1/q) = (\int |f(z)|^p dz)^(1/p)(\int |g(y)|^q dy)^(1/q) \leq ||f||_{p}||g||_{q}</math> |
Revision as of 14:13, 22 July 2008
a)$ |h(x)| \leq (\int |f(x-y)|^p dy)^(1/p)(\int |g(y)|^q dy)^(1/q) = (\int |f(z)|^p dz)^(1/p)(\int |g(y)|^q dy)^(1/q) \leq ||f||_{p}||g||_{q} $