OnLp(x)norms
- 8 January 1999
- journal article
- Published by The Royal Society in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 455 (1981) , 219-225
- https://doi.org/10.1098/rspa.1999.0309
Abstract
The relation between a Banach function space X and its subspaces formed by (i) those functions with absolutely continuous norm; (ii) those with continuous norm; and (iii) the closure of the set of bounded functions are investigated in the case X = Lp(x)Keywords
This publication has 2 references indexed in Scilit:
- A difference between continuous and absolutely continuous norms in Banach function spacesCzechoslovak Mathematical Journal, 1997
- On spaces $L^{p(x)}$ and $W^{k, p(x)}$Czechoslovak Mathematical Journal, 1991