Amemiya Norm Equals Orlicz Norm in Musielak-Orlicz Spaces

Authors
Fan, Xian Ling
Citation
Fan, Xian Ling, Amemiya Norm Equals Orlicz Norm in Musielak-Orlicz Spaces, Acta mathematica Sinica. English series (Print) , 23(2), 2006, pp. 281-288
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
2
Year of publication
2006
Pages
281 - 288
Database
ACNP
SICI code
Abstract
Let (., .) be a .-finite measure space and . : . . [0,.) . [0,.] be a Musielak.Orlicz function. Denote by L .(.) the Musielak.Orlicz space generated by .. We prove that the Amemiya norm equals the Orlicz norm in L .(.)