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Keywords:
Banach function spaces; absolutely continuous norms; continuous norm
Banach function spaces; absolutely continuous norms; continuous norm
Summary:
On examples we show a difference between a continuous and absolutely continuous norm in Banach function spaces.
References:
[1] C. Bennett and R. Sharpley: Interpolation of Operators. Pure Appl. Math. 129, Academic Press, 1988. MR 0928802
[2] Q. Lai and L. Pick: The Hardy operator, $L_{\infty }$ and BMO. J. London Math. Soc. 48 (1993), 167–177. MR 1223901
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