3 papers
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…
math.FA2024
The volume of the boundary of a Sobolev -extension domain II
Pekka Koskela, Riddhi Mishra
We show that the volume of the boundary of a bounded Sobolev -extension domain is zero when