General Gagliardo Inequality and Applications to Weighted Sobolev Spaces
Antonio Avantaggiati; Paola Loreti
Bollettino dell'Unione Matematica Italiana (2009)
- Volume: 2, Issue: 3, page 623-633
- ISSN: 0392-4041
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topAvantaggiati, Antonio, and Loreti, Paola. "General Gagliardo Inequality and Applications to Weighted Sobolev Spaces." Bollettino dell'Unione Matematica Italiana 2.3 (2009): 623-633. <http://eudml.org/doc/290565>.
@article{Avantaggiati2009,
abstract = {In this paper we obtain a more general inequality with respect to a well known inequality due to Gagliardo (see [4], [5]). The inequality contained in [4], [5] has been extended to weighted spaces, obtained as cartesian product of measurable spaces. As application, we obtain a first order weighted Sobolev inequality. This generalize a previous result obtained in [2].},
author = {Avantaggiati, Antonio, Loreti, Paola},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {623-633},
publisher = {Unione Matematica Italiana},
title = {General Gagliardo Inequality and Applications to Weighted Sobolev Spaces},
url = {http://eudml.org/doc/290565},
volume = {2},
year = {2009},
}
TY - JOUR
AU - Avantaggiati, Antonio
AU - Loreti, Paola
TI - General Gagliardo Inequality and Applications to Weighted Sobolev Spaces
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/10//
PB - Unione Matematica Italiana
VL - 2
IS - 3
SP - 623
EP - 633
AB - In this paper we obtain a more general inequality with respect to a well known inequality due to Gagliardo (see [4], [5]). The inequality contained in [4], [5] has been extended to weighted spaces, obtained as cartesian product of measurable spaces. As application, we obtain a first order weighted Sobolev inequality. This generalize a previous result obtained in [2].
LA - eng
UR - http://eudml.org/doc/290565
ER -
References
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