Generalized dimension distortion under Sobolev mappings
Showing items with similar title or keywords.
Herron, D. A.; Koskela, Pekka (University of Illinois Press, 2003)We determine the correct dimension gauge for measuring generalized quasicircles (the images of a circle under so-called µ-homeomorphisms). We establish a sharp modulus of continuity estimate for the inverse of a homeomorphism ...
Onninen, Jani; Tengvall, Ville (The RSE Scotland Foundation, 2016)Let X be an open set in R n and suppose that f : X → R n is a Sobolev homeomorphism. We study the regularity of f −1 under the L p -integrability assumption on the distortion function Kf . First, if X is the unit ...
Kirsilä, Ville (American Mathematical Society, 2014)
Lehrbäck, Juha (Birkhäuser, 2021)We consider applications of the dual pair of the (upper) Assouad dimension and the lower (Assouad) dimension in analysis. We relate these notions to other dimensional conditions such as a Hausdorff content density condition ...
Karak, Nijjwal (Academy of Sciences of the Czech Republic; Springer, 2017)In many recent articles, medians have been used as a replacement of integral averages when the function fails to be locally integrable. A point x in a metric measure space (X, d, μ) is called a generalized Lebesgue point ...