Comptes Rendus
no. 10
Functional Analysis
Weighted pseudo almost periodic functions and applications

Presented by: Gilles Pisier

Toka Diagana1
1 Department of Mathematics, Howard University, 2441, 6th Street N.W., Washington, DC 20059, USA
Comptes Rendus. Mathématique, Volume 343 (2006) no. 10, pp. 643-646.

This Note introduces a new class of functions called weighted pseudo almost periodic functions, which generalize in a natural fashion the classical pseudo almost periodic functions due to C. Zhang. Properties of those weighted pseudo almost periodic functions are discussed including a composition result of weighted pseudo almost periodic functions, which plays a crucial role for the solvability of some weighted pseudo almost periodic semilinear differential and partial differential equations.

Dans cette Note on introduit une nouvelle classe de fonctions que nous appelerons fonctions pseudo presque périodiques avec poids, lesquelles généralisent de façon naturelle les fonctions pseudo presque périodiques que C. Zhang avait introduit dans la littérature il y a une dizaine d'années. Les propriétés de telles fonctions sont étudiées, en particulier, un résultat sur la composition de fonctions pseudo presque périodiques avec poids est obtenu, lequel sert de support lorsqu'on étudie les solutions pseudo presque périodiques avec poids de certaines équations différentielles ou équations aux dérivées partielles sémi-linéaires.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2006.10.008

Toka Diagana 1

1 Department of Mathematics, Howard University, 2441, 6th Street N.W., Washington, DC 20059, USA 
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Toka Diagana. Weighted pseudo almost periodic functions and applications. Comptes Rendus. Mathématique, Volume 343 (2006) no. 10, pp. 643-646. doi : 10.1016/j.crma.2006.10.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.10.008/

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[3] T. Diagana, E. Hernàndez M., Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional-differential equations and applications, J. Math. Anal. Appl. (2006), in press

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