Best constants for certain multilinear integral operators

Best constants for certain multilinear integral operators
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DOI:
10.1155/jia/2006/28582
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发表时间:
2006-01-01
影响因子:
1.6
通讯作者:
Oh, Choonghong (Tadahiro)
Oh, Choonghong (Tadahiro)
中科院分区:
数学3区
文献类型:
--
作者:
Benyi, Arpad;Oh, Choonghong (Tadahiro)

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在Hilbert, Hardy和Hardy- littlewood - polya的经典积分不等式的非张量多线性扩展中,我们用特殊函数gamma给出了最佳常数的显式公式。版权所有:A。A. Benyi和C. (Tadahiro)哦。这是一篇在知识共享署名许可下发布的开放获取文章,该许可允许在任何媒体上不受限制地使用、分发和复制,只要原始作品被适当引用。
We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical integral inequalities due to Hilbert, Hardy, and Hardy-Littlewood-Polya. Copyright (C) 2006 A. A. Benyi and C. (Tadahiro) Oh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.