Stephen Montgomery-Smith, The Gaussian Cotype of Operators from \(C(K)\).
Israel Journal of Math. 68 (1989), 123-128.
We show that the canonical embedding \(C(K)\) to \(L_\Phi(\mu)\) has Gaussian cotype \(p\), where \(\mu\) is a Radon probabilty measure on \(K\), and \(\Phi\) is an Orlicz function equivalent to \(t^p(\log t)^{p/2}\) for large \(t\).
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