On a variant of Gagliardo-Nirenberg inequality deduced from Hardy
Agnieszka Kalamajska, Katarzyna Pietruska-Paluba
TL;DR
This paper introduces new weighted Gagliardo-Nirenberg inequalities in Orlicz spaces derived from Hardy inequalities, expanding the scope of such inequalities beyond traditional doubling weights.
Contribution
It presents novel variants of Gagliardo-Nirenberg inequalities in Orlicz spaces based on Hardy inequalities without requiring doubling weights.
Findings
New weighted Gagliardo-Nirenberg inequalities in Orlicz spaces
Derived from Hardy inequalities with non-doubling weights
Extends the applicability of interpolation inequalities
Abstract
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.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Nonlinear Partial Differential Equations · Differential Equations and Boundary Problems