Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Zapadinskaya, A."'
We extend the validity of a Gromov's dimension comparison estimate for topological hypersurfaces to sufficiently large classes of rectifiable sets, arising from Sobolev mappings. Our tools are a suitably weak exterior differentiation for pullback dif
Externí odkaz:
http://arxiv.org/abs/1507.07346
We investigate how the integrability of the derivatives of Orlicz-Sobolev mappings defined on open subsets of $\mathbb{R}^n$ affect the sizes of the images of sets of Hausdorff dimension less than $n$. We measure the sizes of the image sets in terms
Externí odkaz:
http://arxiv.org/abs/1007.2091
We prove a dimension distortion estimate for mappings of sub-exponentially integrable distortion in Euclidean spaces, which is essentially sharp in the plane.
Externí odkaz:
http://arxiv.org/abs/1006.0553
Publikováno v:
In Advances in Mathematics 9 April 2015 274:385-403
Publikováno v:
Proceedings of the American Mathematical Society, 2015 May 01. 143(5), 2033-2042.
Externí odkaz:
http://www.jstor.org/stable/24507295
Autor:
Zapadinskaya Aleksandra
Publikováno v:
Open Mathematics, Vol 9, Iss 2, Pp 356-363 (2011)
Externí odkaz:
https://doaj.org/article/7f60aae42d4742ea94bfd18a98a6ee5c
Publikováno v:
Proceedings of the American Mathematical Society, 2009 Nov 01. 137(11), 3815-3821.
Externí odkaz:
http://dx.doi.org/10.1090/S0002-9939-09-09948-1
Publikováno v:
In Journal of Mathematical Analysis and Applications 2011 384(2):468-477
Publikováno v:
Journal d'Analyse Mathématique. 137:73-100
We study critical regularity assumptions on space-filling curves that possess certain modulus of continuity. The bounds we obtain are essentially sharp, as demonstrated by an example. peerReviewed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6307b81341e157cd96b8f7ffb3272343
https://doi.org/10.1007/s11854-018-0066-3
https://doi.org/10.1007/s11854-018-0066-3
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