A generalized Hölder inequality and a generalized Szegő theorem

Avram, Florin; Brown, Lawrence

doi:10.1090/S0002-9939-1989-0984781-X

A generalized Hölder inequality and a generalized Szegő theorem
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by Florin Avram and Lawrence Brown PDF

Proc. Amer. Math. Soc. 107 (1989), 687-695 Request permission

Abstract:

We prove a limit theorem connected to graphs, which when the graph is a cycle reduces to Szego’s theorem for the trace of a product of Toeplitz matrices. The main tool used is a Holder type inequality for multiple integrals of functions which are applied to variables satisfying linear dependency relations.

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