Multipliers for vector valued functions
1984 ◽
Vol 99
(1-2)
◽
pp. 137-143
Keyword(s):
SynopsisLet G be a locally compact abelian group and let Γ be the dual of G. Let A, B be Banach spaces and Lp(G,A) the Bochner-Lebesgue spaces. We prove that the space of bounded linear translation invariant operators from L1(G, A) to LX(G, B) can be identified with the space of bounded convolution invariant (in some sense) operators and also with the space of a(A, B)-valued “weak regular” measures with the relation Tf = f *μ. (A. The existence of a function m∈ L∞ (Γ,α(A,B)), such that is also proved.
1994 ◽
Vol 17
(3)
◽
pp. 475-478
◽
2007 ◽
Vol 75
(2)
◽
pp. 369-390
◽
Keyword(s):
1987 ◽
Vol 101
(2)
◽
pp. 279-281
1994 ◽
Vol 14
(2)
◽
pp. 130-138
◽
Keyword(s):
2008 ◽
Vol 340
(1)
◽
pp. 219-225
◽
1973 ◽
Vol 9
(1)
◽
pp. 73-82
◽
1984 ◽
pp. 261-269
◽