Direct and Reverse Gagliardo-Nirenberg Inequalities from Logarithmic Sobolev Inequalities

• Autorzy: Matteo Bonforte , Gabriele Grillo
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46A35: Summability and bases
• 26D10: Inequalities involving derivatives and differential and integral operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 3
• Strony: 323-336

Daty

wydano

2005

Twórcy

autor

Matteo Bonforte

• Dipartimento di Matematica, Politecnico di Torino, corso Duca degli Abruzzi 24, 10129 Torino, Italy

autor

Gabriele Grillo

• Dipartimento di Matematica, Politecnico di Torino, corso Duca degli Abruzzi 24, 10129 Torino, Italy

Identyfikatory

DOI

10.4064/ba53-3-10