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Published in 2017 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080217020081
Abstract: There are established some sufficient conditions for boundary homeomorphic extension in metric spaces in which the measure of a ball of radius ε is controlled from above by a wide class of functions depending on…
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Keywords:
finite mean;
mean oscillation;
metric spaces;
oscillation upper ... See more keywords
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Published in 2023 at "Advances in Calculus of Variations"
DOI: 10.1515/acv-2022-0084
Abstract: Abstract In this paper, we define a notion of β-dimensional mean oscillation of functions u : Q 0 ⊂ ℝ d → ℝ {u:Q_{0}\subset\mathbb{R}^{d}\to\mathbb{R}} which are integrable on β-dimensional subsets of the cube Q 0…
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Keywords:
dimensional mean;
beta;
mean oscillation;
bounded dimensional ... See more keywords