Asymmetric affine Lp Sobolev inequalities

Asymmetric affine Lp Sobolev inequalities
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DOI:
10.1016/j.jfa.2009.04.009
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发表时间:
2009-08-01
影响因子:
1.7
通讯作者:
Schuster, Franz E.
Schuster, Franz E.
中科院分区:
数学1区
文献类型:
--
作者:
Haberl, Christoph;Schuster, Franz E.

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建立了Rn上函数的一个新的精确仿射L-pSobolev不等式.这个不等式加强并隐含了先前已知的仿射L-pSobolev不等式,而后者又比经典的L-pSobolev不等式更强。(C)2009 Elsevier Inc. All rights reserved.
A new sharp affine L-p Sobolev inequality for functions on R-n is established. This inequality strengthens and implies the previously known affine L-p Sobolev inequality which in turn is stronger than the classical L-p Sobolev inequality. (C) 2009 Elsevier Inc. All rights reserved.