An extension of the Hardy-Littlewood inequality

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An Ex'tension of the Hardy-Littlewood Inequality

and 2.

(b) Let fEH P, 1~p

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M. Mat el jevi c and M. Pavlovi c A proof ma y be f o un d in ( 111 • (Hardy- Litt l ewood) . I f fe H r ~ O then t (l -P ) -P /AMA (r ~f )P dr < ~ . Fo r t h e proof see [5 ~ Th e o rem 5 . 11J . 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 numbers , p> o ~ a>o . Then the f ollowing a s sertions a r e equ i val ent: ( a) (b) (e) 1 a -I ~ n p f (l - x) ( E a x ) dx

An Ex'tension of the Hardy-Littlewood Inequality and 2. (b) Let fEH P, 1~p

Page 1 and 2: MATEMATICKI VESNIK 6(19)(34), 1982
Page 3: • An Extens i on of the Hardy- Li
Page 7: __._~_An_E_·x_t_e_n_s!~mof the IIa

An extension of the Hardy-Littlewood inequality

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