Density of a Collection of Functions in $N_Φ$-Spaces

J. Math. Sci. Univ. Tokyo
Vol. 7 (2000), No. 3, Page 449--461.

Bang, Ha Huy ; Thuong, Truong Van
Density of a Collection of Functions in $N_Φ$-Spaces
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Abstract:
This paper presents sufficient conditions for a translation invariant subspace of $L_1(\R^n)\cap N_Φ(\R^n)$ to be dense in $N_Φ(\R^n).$

Keywords: Translation invariant, Fourier transform, theory of Orlicz spaces

Mathematics Subject Classification (1991): 46F99, 46E30
Mathematical Reviews Number: MR1792736

Received: 1999-11-04