Let be an internal chord-arc domain and be a homeomorphism. Then there is a diffeomorphic extension of . We study the relationship between weighted integrability of the derivatives of and double integrals of and of .
Cite this article
Haiqing Xu, Weighted estimates for diffeomorphic extensions of homeomorphisms. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 1, pp. 151–189DOI 10.4171/RLM/884