Direct and Reverse Gagliardo-Nirenberg Inequalities from Logarithmic Sobolev Inequalities

Matteo Bonforte, and Gabriele Grillo. "Direct and Reverse Gagliardo-Nirenberg Inequalities from Logarithmic Sobolev Inequalities." Bulletin of the Polish Academy of Sciences. Mathematics 53.3 (2005): 323-336. <http://eudml.org/doc/281061>.

@article{MatteoBonforte2005,
abstract = {We investigate the connection between certain logarithmic Sobolev inequalities and generalizations of Gagliardo-Nirenberg inequalities. A similar connection holds between reverse logarithmic Sobolev inequalities and a new class of reverse Gagliardo-Nirenberg inequalities.},
author = {Matteo Bonforte, Gabriele Grillo},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Gagliardo-Nirenberg inequality; logarithmic Sobolev inequality; 4-norms inequality; reverse inequality},
language = {eng},
number = {3},
pages = {323-336},
title = {Direct and Reverse Gagliardo-Nirenberg Inequalities from Logarithmic Sobolev Inequalities},
url = {http://eudml.org/doc/281061},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Matteo Bonforte
AU - Gabriele Grillo
TI - Direct and Reverse Gagliardo-Nirenberg Inequalities from Logarithmic Sobolev Inequalities
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 3
SP - 323
EP - 336
AB - We investigate the connection between certain logarithmic Sobolev inequalities and generalizations of Gagliardo-Nirenberg inequalities. A similar connection holds between reverse logarithmic Sobolev inequalities and a new class of reverse Gagliardo-Nirenberg inequalities.
LA - eng
KW - Gagliardo-Nirenberg inequality; logarithmic Sobolev inequality; 4-norms inequality; reverse inequality
UR - http://eudml.org/doc/281061
ER -