POINCARE-TYPE INEQUALITIES IN MUSIELAK SPACES

被引：5
|
作者：
Ahmida, Youssef [1 ]
Youssfi, Ahmed [1 ]
机构：
[1] Sidi Mohamed Ben Abdellah Univ, Natl Sch Appl Sci, Lab Engn Syst & Applicat LISA, My Abdellah Ave,Rd Imouzer,POB 72 Fes Principale, Fes 30000, Morocco
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2019年 / 44卷
关键词：
Musielak spaces; Poincare-type inequalities; null trace functions space;
D O I：
10.5186/aasfm.2019.4468
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we investigate Poincare-type integral inequalities in the functional Musielak structure. We extend the ones already well known in Sobolev, Orlicz and variable exponent Sobolev spaces. We introduce conditions on the Musielak functions under which they hold. The identification with null trace functions space is given.
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页码：1041 / 1054
页数：14
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