Open Access
March 2006 Régularité d'une algèbre $m$-convexe à poids
A. El Kinani
Bull. Belg. Math. Soc. Simon Stevin 13(1): 159-166 (March 2006). DOI: 10.36045/bbms/1148059341

Abstract

We prove that the space \textbf{$L_\Omega ^p\left( R^n\right) $}, where $% \Omega =\left\{ \left( 1+\left\| x\right\| ^2\right) ^s:s>\frac{n(p-1)} 2\right\} $ and $p\in \left] 1,+\infty \right[ $ , is a regular locally $m$-convex algebra. Others results are also obtained.

Citation

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A. El Kinani. "Régularité d'une algèbre $m$-convexe à poids." Bull. Belg. Math. Soc. Simon Stevin 13 (1) 159 - 166, March 2006. https://doi.org/10.36045/bbms/1148059341

Information

Published: March 2006
First available in Project Euclid: 19 May 2006

zbMATH: 1134.46025
MathSciNet: MR2246118
Digital Object Identifier: 10.36045/bbms/1148059341

Subjects:
Primary: 46E30 , 46H20

Keywords: Algèbre localement $m$-convexe commutative et semi-simple , algèbre régulière , poids sur $R^n$ , produit de convolution

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.13 • No. 1 • March 2006
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