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January 2003 Structure m-convexe dans l'espace à poids $L_\Omega ^p\left( R^n\right) $
A. Benazzouz, A. El Kinani
Bull. Belg. Math. Soc. Simon Stevin 10(1): 49-57 (January 2003). DOI: 10.36045/bbms/1047309412

Abstract

We consider the space {\bf $L_\Omega ^p\left( R^n\right) ,$ }$1\leq p < +\infty ,$ where $\Omega $ is a family of weights. We give a necessary and sufficient condition, on $\Omega ,$ for {\bf $L_\Omega ^p\left( R^n\right) $ } to be locally m-convex algebra. Fundamental properties of this algebra are also obtained.

Citation

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A. Benazzouz. A. El Kinani. "Structure m-convexe dans l'espace à poids $L_\Omega ^p\left( R^n\right) $." Bull. Belg. Math. Soc. Simon Stevin 10 (1) 49 - 57, January 2003. https://doi.org/10.36045/bbms/1047309412

Information

Published: January 2003
First available in Project Euclid: 10 March 2003

zbMATH: 1042.46024
MathSciNet: MR2032324
Digital Object Identifier: 10.36045/bbms/1047309412

Subjects:
Primary: 46E30 , 46H20

Keywords: Algèbre localement $m$-convexe , fonction $p$-ième intégrable , produit de convolution , Q-algèbre

Rights: Copyright © 2003 The Belgian Mathematical Society

Vol.10 • No. 1 • January 2003
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