Multipliers between some function spaces on groups
1978 ◽
Vol 18
(1)
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pp. 1-11
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Keyword(s):
Let G be a nondiscrete locally compact abelian group with dual group Γ. For 1 ≤ p ≤ ∞, denote by Ap(G) the space of integrable functions on G whose Fourier transforms belong to Lp(Γ). We investigate multipliers from Ap(G) to Aq(G). If G is compact and 2 < p1, p2 < ∞, we show that multipliers of and multipliers of are different, provided Pl ≠ P2. For compact G, we also exhibit a relationship between lr (Γ) and the multipliers from Ap(G) to Aq(G). If G is a compact nonabelian group we observe that the spaces Ap(G) behave in the same way as in the abelian case as far as the multiplier problems are concerned.
1973 ◽
Vol 9
(1)
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pp. 73-82
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1993 ◽
Vol 47
(3)
◽
pp. 435-442
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1994 ◽
Vol 17
(3)
◽
pp. 475-478
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1987 ◽
Vol 39
(1)
◽
pp. 123-148
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Keyword(s):
1972 ◽
Vol 71
(1)
◽
pp. 63-66
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2013 ◽
Vol 160
(5)
◽
pp. 682-684
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Keyword(s):
1983 ◽
Vol 35
(1)
◽
pp. 123-131
Keyword(s):
1971 ◽
Vol 70
(1)
◽
pp. 31-47
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Keyword(s):
1982 ◽
Vol 5
(3)
◽
pp. 503-512
1982 ◽
Vol 25
(2)
◽
pp. 293-301
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