Departmental Bulletin Paper The Fatou Property of Block Spaces

Sawano, Yoshihiro  ,  Tanaka, Hitoshi

22 ( 3 )  , pp.663 - 683 , 2015-07-15 , Graduate School of Mathematical Sciences, The University of Tokyo
Around thirty years ago, block spaces, which are the predual of Morrey spaces, had been considered. However, it seems that there is no proof that block spaces satisfy the Fatou property. In this paper the Fatou property for block spaces is verified and the predual of block spaces is characterized.

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