3 papers
math.FA2025
On Removable Sets for Weighted Sobolev Functions
Behnam Esmayli, Riddhi Mishra
We give sufficient geometric conditions, not involving capacities, for a compact null set to be removable for the Sobolev functions on weighted , defined as the closur…
math.FA2025
Sobolev Versus Homogeneous Sobolev II
Pekka Koskela, Riddhi Mishra, Zheng Zhu
We study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, for a certain range of exponents and , we construct a $(W^{…
math.FA2024
Sobolev Versus Homogeneous Sobolev Extension
Pekka Koskela, Riddhi Mishra, Zheng Zhu
In this paper, we study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, we obtain the following results. 1- Let $1\leq q\le…