On a Variant of the Gagliardo-Nirenberg Inequality Deduced from the Hardy Inequality

• Autorzy: Agnieszka Kałamajska , Katarzyna Pietruska-Pałuba
• Języki publikacji: EN

Abstrakty

EN

We obtain new variants of weighted Gagliardo-Nirenberg interpolation inequalities in Orlicz spaces, as a consequence of weighted Hardy-type inequalities. The weights we consider need not be doubling.

Kategorie tematyczne

• 54C30: Real-valued functions
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 35A25: Other special methods
• 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: 2011
• Tom: 59
• Numer: 2
• Strony: 133-149

Daty

wydano

2011

Twórcy

autor

Agnieszka Kałamajska

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

autor

Katarzyna Pietruska-Pałuba

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/ba59-2-4