n-Harmonic calculus and applications

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发表日期：

2024年6月18日

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H. El Atef,
L. Bouchikhi,
A. El Kinani

摘要

We define and study a functional calculus for vector valued n-harmonic functions. As applications, we obtain a generalization of the well-known von-Neumann’s inequality to several variables. We also use weighted algebras analogues of the classical theorems of N. Wiener and P. Lévy on absolutely Fourier series in order to obtain multi-dimensional versions of N. Wiener and P. Lévy theorems.