An extension of a Hardy-Littlewood-Pólya inequality
1978 ◽
Vol 21
(1)
◽
pp. 11-15
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Keyword(s):
The Hardy-Littlewood-Pólya inequality in question can be written in the formHere and throughout, all functions are assumed to be locally integrable on ]0,∞[, 1≤p≤∞,p-1+(p′)-1=1 (with similar conventions for q,r,s), is the usual norm on Lp(0,∞), and if the right hand side is finite, then (1.1) is understood to mean thatdefines a locally integrable function Kf for which (1.1) holds.
Keyword(s):
1944 ◽
Vol 40
(3)
◽
pp. 253-255
Keyword(s):
1992 ◽
Vol 111
(3)
◽
pp. 599-608
◽
Keyword(s):
1950 ◽
Vol 46
(4)
◽
pp. 549-554
◽
Keyword(s):
1952 ◽
Vol 1
(1)
◽
pp. 13-15
Keyword(s):
1975 ◽
Vol 77
(1)
◽
pp. 159-169
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2019 ◽
Vol 107
(3)
◽
pp. 381-391
1950 ◽
Vol 46
(3)
◽
pp. 406-418