Inequalities for Integral Operators |
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Adoß apply Theorem Banach space beautiful theorem bounded integral operator bounded on LP boundedness C₂ Cesaro operators D.Borwein denote dm(y doß Dumitru GAŞPAR Universitatea eigenvalue finite measure following theorem Fubini theorem Fubini's Fubini's theorem function on XxX hence Hölder inequality I₁ ideal norm induce bounded integral induce the bounded induces a bounded K x,y K₂ K₂ x,y L²(X ln x+1 M₂ MATEMATICE matrix measurable function measurable spaces Nörlund obtain operator on L2(X order-ideal original Schur test positive constants proof is complete Proof of Lemma Proof of Theorem R. S. România S₁ sets of finite SK x,y suppose tests of Carleman THEOREM 16 theorem of Gagliardo theorem of V.S.Sunder Universitatea din Timişoara Weighted Cesaro Xx Xsuch Young's inequality ال اله केह