Quasiconformal mappings that highly distort dimensions of many parallel lines
نویسندگان
چکیده
منابع مشابه
Variation of Quasiconformal Mappings on Lines
We obtain improved regularity of homeomorphic solutions of the reduced Beltrami equation, as compared to the standard Beltrami equation. Such an improvement is not possible in terms of Hölder or Sobolev regularity; instead, our results concern the generalized variation of restrictions to lines. Specifically, we prove that the restriction to any line segment has finite p-variation for all p > 1 ...
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2017
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2017.4206