Some Versions of Khintchine’s Inequality

Sergey V. Astashkin
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Sergey V. Astashkin: Samara National Research University

Chapter Chapter 12 in The Rademacher System in Function Spaces, 2020, pp 379-417 from Springer

Abstract: Abstract Let a s.s. X contain the separable part G of the Orlicz space L N 2 , $$L_{N_2},$$ N 2 ( u ) = e u 2 − 1 $$N_2(u)=e^{u^2}-1$$ . According to Khintchine’s inequality (see Theorem 2.2 ), there exists a constant C = C(X) > 0 such that for every sequence a = ( a i ) i = 1 ∞ ∈ ℓ 2 $$a=(a_i)_{i=1}^\infty \in \ell _2$$ .

Date: 2020
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DOI: 10.1007/978-3-030-47890-2_12

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