一个多线性Rellich不等式

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/MIA-2021-24-19

D. Edmunds, A. Meskhi

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引用次数: 0

摘要

。在实线上证明了Rellich不等式的一个多线性变型。特别是,我们与积极建立加权不等式函数w (0, b−)),在−∞(cid: 2) < b (cid: 2) +∞,m是一个正整数,δ(x) =分钟{x−a, b−x}是距离函数(a、b),和1 / p =∑mj = 1 1 / p j, p j > 1, j = 1,……， m。根据数学学科分类(2010)，我们得出如下估计:26A42, 35A22, 35A23。

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A multilinear Rellich inequality

. We prove a multilinear variant of the Rellich inequality on the real line. In particular, we establish the weighted inequality with a positive function w on ( 0 , b − a )) , where − ∞ (cid:2) a < b (cid:2) + ∞ , m is a positive integer, δ ( x ) = min { x − a , b − x } is the distance function on ( a , b ) , and 1 / p = ∑ mj = 1 1 / p j , p j > 1, j = 1 ,..., m . As a corollary we derive the following estimate b Mathematics subject classi ﬁ cation (2010): 26A42, 35A22, 35A23.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.