Norm estimates for meansin Other (Other) by Dgoodz19
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3.2 Integral expression and comparison of norms 39 1
(a) Since the ratio G(ex , 1)/A(ex , 1) cosh x2 is the Fourier transform 1 of cosh(x) ,
1 1 dx H 2 XK 2 (HsH )ix (HX XK)(KsK )ix . 2 cosh(x)
Actually, the observation of this expression is the starting point of our works on means of operators in a series of recent articles ([54, 38, 39]). We also point out that the use of this integral transformation was crucial in [22, 23]. ...