On a class of interpolation inequalities on the 2D sphere

被引：0

作者：

Zelik, S. V. ^{[1
,2
]}

Ilyin, A. A. ^{[3
]}

机构：

[1] Univ Surrey, Dept Math, Guildford, Surrey, England

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou, Peoples R China

[3] Russian Acad Sci, Keldysh Inst Appl Math, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2023年 / 214卷 / 03期

关键词：

Gagliardo-Nirenberg inequalities; sphere; orthonormal systems; SOBOLEV INEQUALITIES; SHARP; ASYMPTOTICS; CONSTANTS; EQUATIONS; MANIFOLDS; SYSTEM; LIEB;

D O I：

10.4213/sm9786e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove estimates for the L-p-norms of systems of functions and divergence-free vector functions that are orthonormal in the Sobolev space H-1 on the 2D sphere. As a corollary, order sharp constants for the embedding H1 hooked right arrow L-q, q < infinity, are obtained in the Gagliardo-Nirenberg interpolation inequalities.

引用

页码：396 / 410

页数：15

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