Dimension estimate for the two-sided points of planar Sobolev extension domains
Takanen, J. (2023). Dimension estimate for the two-sided points of planar Sobolev extension domains. Proceedings of the American Mathematical Society, 151(9), 3779-3792. https://doi.org/10.1090/proc/16362
Published in
Proceedings of the American Mathematical SocietyDate
2023Copyright
© 2023 American Mathematical Society
In this paper we give an estimate for the Hausdorff dimension of the set of two-sided points of the boundary of bounded simply connected Sobolev W1,p-extension domain for 1 < p < 2. Sharpness of the estimate is shown by examples. We also prove the equivalence of different definitions of two-sided points.
Publisher
American Mathematical Society (AMS)ISSN Search the Publication Forum
0002-9939Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/184117644
Metadata
Show full item recordCollections
Related funder(s)
Research Council of FinlandFunding program(s)
Academy Project, AoFAdditional information about funding
The author was supported by the Academy of Finland, grant no. 314789.License
Except where otherwise noted, this item's license is described as CC BY-NC 4.0