Notes for Trudinger-Moser Inequality

被引：0
|
作者：
Berezhnoi, Eugenii I. [1 ]
Kocherova, Victoria V. [1 ]
Perfilyev, Alexei A. [2 ]
机构：
[1] Yaroslavl State Univ, Yaroslavl, Russia
[2] State Univ Management, Moscow, Russia
来源：
INTERNATIONAL CONFERENCE FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS (FAIA2017) | 2017年 / 1880卷
关键词：
SOBOLEV INEQUALITIES; IMBEDDINGS;
D O I：
10.1063/1.5000608
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
It is shown that the well-known Trudinger-Moser inequality is equivalent to the embedding of the Sobolev space W-n(1,o) (Omega) into the Marcinkiewicz space M(psi), and the function psi is directly defined. It is shown that in the embedding theorem the Marcinkiewicz space M(psi(n)) can not be replaced even by the Lorentz space Lambda(psi(n)) with the same fundamental function.
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