An extension of the Hardy-Littlewood inequality
An extension of the Hardy-Littlewood inequality
An extension of the Hardy-Littlewood inequality
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M. Mat el jevi c and M. Pavlovi c<br />
A pro<strong>of</strong> ma y be f o un d in ( 111 •<br />
(<strong>Hardy</strong>- Litt l ewood) . I f fe H r ~ O < P < A < ~ , <strong>the</strong>n<br />
t (l -P ) -P /AMA (r ~f )P dr < ~ .<br />
Fo r t h e pro<strong>of</strong> see [5 ~ Th e o rem 5 . 11J .<br />
LErt1l'-1A 3 (Lr l s l zl s l aol ) • Let (an ) ~ n>-:l , be a seque nc e o f non-negat i ve<br />
numbers , p> o ~ a>o . Then <strong>the</strong> f ollowing a s sertions a r e equ i val ent:<br />
( a)<br />
(b)<br />
(e)<br />
1 a -I ~ n p<br />
f (l - x) ( E a x ) dx
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