Number of the records: 1

Gagliardo-Nirenberg inequalities in regular Orlicz spaces involving nonlinear expressions

SYSNO ASEP	0336111
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Gagliardo-Nirenberg inequalities in regular Orlicz spaces involving nonlinear expressions
Title	Gagliardovy-Nirenbergovy nerovnosti v regulárních Orliczových prostorech zahrnující nelineární členy
Author(s)	Kalamajska, A. (PL) Krbec, Miroslav (MU-W)_{RID, SAI}
Source Title	Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X Roč. 362, č. 2 (2010), s. 460-470
Number of pages	11 s.
Language	eng - English
Country	US - United States
Keywords	Gagliardo-Nirenberg inequalities ; Orlicz spaces
Subject RIV	BA - General Mathematics
R&D Projects	GA201/06/0400 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000271878300017
EID SCOPUS	70350302383
DOI	10.1016/j.jmaa.2009.08.028
Annotation	We consider triples of Young functions satisfying standard growth conditions and corresponding Orlicz spaces with respect to polynomial weights. It is known that the multiplicative form of the Gagliardo-Nirenberg inequality cannot generally hold in Orlicz spaces, hence we tackle its additive version and show that it implies certain nonlinear variants of the usual multiplicative estimate known e.g. from Lebesgue spaces. We first study the case of first order derivatives and then we generalize the claims to inequalities involving more general measures and higher order derivatives.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2010

Number of the records: 1