Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Luzin N property"'
Akademický článek
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Publikováno v:
Sibirskii matematicheskii zhurnal. 60:1171-1185
Considering regular mappings of Euclidean spaces, we study the distortion of the Hausdorff dimension of a given set under restrictions on the rank of the gradient on the set. This problem was solved for the classical cases of k-smooth and Holder mapp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15db2953c1b8096a6ad6f301e30c27a7
https://doi.org/10.33048/smzh.2019.60.514
https://doi.org/10.33048/smzh.2019.60.514
Autor:
Alexey Ostrovsky
Publikováno v:
Topology and its Applications. 230:45-50
A resolvably measurable function is a real-valued function for which the preimage of each open set is resolvable. It is shown that resolvably measurable functions f : X ⊂ R → Y ⊂ R (a subclass of Δ 2 0 -measurable functions) have a decompositi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d61fce8ddd44a48602d015b2286d31a
https://doi.org/10.1016/j.topol.2017.08.007
https://doi.org/10.1016/j.topol.2017.08.007
Publikováno v:
Anal. PDE 12, no. 5 (2019), 1149-1175
We say that a mapping [math] satisfies the [math] - [math] -property if [math] whenever [math] , where [math] means the Hausdorff measure. We prove that every mapping [math] of Sobolev class [math] with [math] satisfies the [math] - [math] -property
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf09de5714ccd3ee47b0e19cfffebc1e
https://hdl.handle.net/11591/400558
https://hdl.handle.net/11591/400558
Autor:
Mikhail V. Korobkov, Jan Kristensen
Publikováno v:
Journal of Geometric Analysis
We prove Luzin N- and Morse–Sard properties for mappings \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89e98800b611ac3ecfb58cf176d0c0c6
https://doi.org/10.1007/s12220-017-9936-7
https://doi.org/10.1007/s12220-017-9936-7
Publikováno v:
Siberian Mathematical Journal. 56:822-826
We consider the generalized Hajlasz–Sobolev classes W (X), α > 0, on ultrametric measure spaces X with doubling condition. We study the massiveness of the complement to the set of Lebesgue points, the convergence rate for Steklov averages, and the
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https://explore.openaire.eu/search/publication?articleId=doi_________::fe13cb96e29014e33b518c1e1e458a36
https://doi.org/10.1134/s0037446615050043
https://doi.org/10.1134/s0037446615050043
Autor:
Marcin Michalski, Szymon Żeberski
Publikováno v:
Topology and its Applications. 189:122-135
In this paper we consider a notion of I -Luzin set which generalizes the classical notion of Luzin set and Sierpinski set on Euclidean spaces. We show that there is a translation invariant σ-ideal I with Borel base for which I -Luzin set can be I -m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c9798e58d211bd9b4d00d4c46fe8865
https://doi.org/10.1016/j.topol.2015.04.007
https://doi.org/10.1016/j.topol.2015.04.007
Akademický článek
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Publikováno v:
Colloquium Mathematicum. 135:211-225
Let P (X,F) denotes the property: For every function f : X × R → R, if f(x, h(x)) is continuous for every function h : X → R from F , then f is continuous. In this paper we investigate the assumptions of a theorem of Luzin [13], which states tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7234b2f8bc1d86d87a248e18f86833e
https://doi.org/10.4064/cm135-2-5
https://doi.org/10.4064/cm135-2-5
Autor:
Osvaldo Guzmán, Michael Hrušák
Publikováno v:
Topology and its Applications. 160:1364-1374
We introduce the notion of an n-Luzin gap, which is a natural generalization of a Luzin gap. We prove that under Martin’s Axiom, every AD family A of size less than c contains an n-Luzin gap or the corresponding Mr owka-Isbell space (A) is normal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::922f8939832ee23ffc34f274b14ef405
https://doi.org/10.1016/j.topol.2013.05.015
https://doi.org/10.1016/j.topol.2013.05.015