 Wysłany: Pią 15:29, 01 Kwi 2011 Temat postu: On Hardy-Littlewood inequality and KyFan _2956 |
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| On Hardy-Littlewood inequality and KyFan
) ∈ L '[O, + o. ) Is , + pr + J. x'-eF) a ≤ ' strike may be ) Jx'f ~ (x) dz where lIf (t) dt, when the , ~ p - 1时, F (z) a {} If (t) dt, when e> ; P - 1 pm. Corollary 2 Kufner inequality obtained in 1984 . . . Corollary 3 to set reasonable conditions for the establishment of 3 , then v a (2 ) If 『 F () exists and is F (+0.), then F) a F (+ oo) Ilc out the Ding Ding c a ) Corollary 3 ( 1) is [1 . ] in which the theorem. Corollary 4 Let P> I, r> 0, Q ≥,, = 1 + to A , r -1 + , the function , () ≥ 0, and , + ∞), and if ,, _. () = (zt) (,-Da.t-~ (t) out. the ~ r + l-(rc ... a ,.,,() d) J0 ¨ , etc. [≤, ∞ _ three of Changsha University 1997 Certificate in June that in Theorem 1,adidas scarpe, note = ~ y foot mouth = (d + b - r +1) to ( refuse , twenty ) =, y), the direct use of Theorem 1 and r (f7 (, y) , () a ). A ; r {,. () / X ~ t. Corollary 4 shows the set up. Port = O, b = r 4 when the reasoning in [ 3], from Theorem 3, d = 0, b = r, = 1时Knopp inequality Corollary 4 |
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