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Bibliographic Details
Main Authors: Koskela, Pekka, Mishra, Riddhi, Zhu, Zheng
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.07072
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Table of Contents:
  • We study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, for a certain range of exponents $p$ and $q$, we construct a $(W^{1, p}, W^{1, q})$-extension domain which is not an $(L^{1, p}, L^{1, q})$-extension domain.