Gilbert Muraz and Serap Öztop: Presque périodicité avec poids, p.295-310

Abstract:

This work is concerned with the study of the almost periodicity in the spaces where the "shift operator" is not an isometry. The frame of the abstract $G$-modules and L¹_ω(G)-modules is the suitable one, for a weight $\omega$ compatible with the norm of the "shift operator". The notion of almost periodic elements with weight is natural in this spaces. The spaces L^p_ω(G) and L^p_1/ω(G) are considered.

Key Words: Weight function, Banach module, almost periodicity, multiplier.

2000 Mathematics Subject Classification: Primary: 43A20;
Secondary: 43A22, 43A60.

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