On the Ranges of Certain Fractional Integrals
1972 ◽
Vol 24
(6)
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pp. 1198-1216
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Keyword(s):
Suppose 1 ≦ P < ∞, μ is real, and denote by Lμ,p the collection of functions f, measurable on (0, ∞ ), and which satisfy1.1Also denote by [X] the collection of bounded operators from a Banach space X to itself. For v > 0, Re α > 0, Re β > 0, let1.2and1.3where ξ and η are complex numbers. Iv,α,ξ and Jv,β,η, are generalizations of the Riemann-Liouville and Weyl fractional integrals respectively, and consequently we shall refer to them as fractional integrals.
Keyword(s):
1978 ◽
Vol 21
(1)
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pp. 17-23
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Keyword(s):
1969 ◽
Vol 10
(1)
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pp. 73-76
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1978 ◽
Vol 30
(5)
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pp. 1045-1069
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Keyword(s):
1968 ◽
Vol 8
(1)
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pp. 119-127
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1986 ◽
Vol 28
(2)
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pp. 193-198
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1978 ◽
Vol 31
(4)
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pp. 845-857
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Keyword(s):
1970 ◽
Vol 22
(5)
◽
pp. 1016-1034
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Keyword(s):
1970 ◽
Vol 11
(1)
◽
pp. 72-80
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