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On the Dual of Besov Spaces
Author(s) -
Tosinobu Muramatu
Publication year - 1976
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195190960
Subject(s) - besov space , mathematics , subspace topology , dual (grammatical number) , space (punctuation) , banach space , dual space , measure (data warehouse) , pure mathematics , interpolation space , discrete mathematics , mathematical analysis , functional analysis , computer science , art , operating system , biochemistry , chemistry , literature , gene , database
This paper is a supplement to the author's paper [6]. Here we shall discuss the space Bpi00_($), a closed subspace of JB£>JO(,G), and determine the dual of Besov spaces ££ig(J2) . For a measure space (M, /*) and a Banach space X by L (M, p. ; X) we denote the space of all X-valued strongly measurable functions f(x) such that \f(x)lx 0 and as |y|-»oo. We shall make use of the following conventions: p , l/oo -=l/oo = 0. The space Bpt00_ (fl; X) is defined as follows:

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