11 citations · 28 across the 16 of their papers we have counts for
Showing 2009Show all
2 papers · 1 filter
math.FA2009★ 5 cited
On a variant of Gagliardo-Nirenberg inequality deduced from Hardy
Agnieszka Kalamajska, Katarzyna Pietruska-Paluba
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 ne…
math.AP2009★ 5 cited
On a variant of Hardy inequality between weighted Orlicz spaces
Agnieszka Kalamajska, Katarzyna Pietruska-Paluba
Let M be an N-function satisfying the - condition, let $ω, \vp$ be two other functions, . We study Hardy-type inequalities \[ \int_{\rp} M(ω(x)|u(x)|) {\rm exp}(-\vp (…