Displaying similar documents to “System of equations in commuting variables for free products of Abelian groups.”

L -Khintchine-Bonami inequality in free probability

Artur Buchholz (1998)

Banach Center Publications

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We prove the norm estimates for operator-valued functions on free groups supported on the words with fixed length ( f = | w | = l a w λ ( w ) ). Next, we replace the translations by the free generators with a free family of operators and prove inequalities of the same type.