On Fourier transform multipliers in Lp
1972 ◽
Vol 13
(2)
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pp. 219-223
Keyword(s):
We denote by R the set of real numbers, and by Rn, n ≧ 2, the Euclidean space of dimension n. Given any subset E of Rn, n ≧ 1, we denote the characteristic function of E by xE, so that XE(x) = 0 if x ∈ E; and XE(X) = 0 if x ∈ Rn/E.The space L(Rn) Lp consists of those measurable functions f on Rn such that is finite. Also, L∞ represents the space of essentially bounded measurable functions with ║f║>0; m({x: |f(x)| > x}) = O}, where m represents the Lebesgue measure on Rn The numbers p and p′ will be connected by l/p+ l/p′= 1.
1964 ◽
Vol 16
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pp. 721-728
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1968 ◽
Vol 20
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pp. 1211-1214
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1997 ◽
Vol 56
(1)
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pp. 69-79
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2014 ◽
Vol 91
(1)
◽
pp. 34-40
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1998 ◽
Vol 40
(3)
◽
pp. 393-425
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1968 ◽
Vol 8
(2)
◽
pp. 222-230
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1960 ◽
Vol 12
◽
pp. 297-302
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