Riddhi Mishra

collaborators

3 papers

math.CA2026

On the measure of the boundary of a Hajłasz-Sobolev $(M^{1, p}, M^{1, q})$ -extension domain

Ryan Alvarado, Riddhi Mishra

We prove that the boundary of every bounded $(M^{1, p}, M^{1, q})$ -extension domain in a $Q$ -doubling metric measure space has measure zero whenever $0 < q < p < \infty$ , with the additiona…

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

On the measure of the boundary of a Hajłasz-Sobolev (M1,p,M1,q)-extension domain

Sobolev extensions, interpolation inequalities and consequences

How to recognise extension domains

On the measure of the boundary of a Hajłasz-Sobolev $(M^{1, p}, M^{1, q})$ -extension domain