Open AccessGeneralized dimension estimates for images of porous sets under monotone Sobolev mappings
Author(s) -
Pekka Koskela,
Aleksandra Zapadinskaya
Publication year - 2014
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-2014-12371-9
Subject(s) - sobolev space , monotone polygon , mathematics , hausdorff dimension , dimension (graph theory) , hausdorff space , pure mathematics , hausdorff distance , sobolev inequality , mathematical analysis , geometry
We give an essentially sharp estimate in terms of generalized Hausdorff measures for images of porous sets under monotone Sobolev mappings, satisfying suitable Orlicz-Sobolev conditions.