Riddhi Mishra

collaborators

2 papers

math.FA2026

Sobolev extensions, interpolation inequalities and consequences

Rupert L. Frank, Pekka Koskela, Riddhi Mishra

We prove Sobolev interpolation inequalities on extension domains that have a form reminiscent of the corresponding whole-space inequalities. This form is crucial in certain applica…

math.FA2026

How to recognise extension domains

Riddhi Mishra, Kaushik Mohanta

Let $I^c ◯ \subset R^{n}$ be a bounded domain and $1 < p < \infty$ . We prove that there is a bounded extension operator $W ˙^{1, p} (I^c ◯) \to W ˙^{1, p} (R^{n})$ if and…