ESTONIAN ACADEMY
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eesti teaduste
akadeemia kirjastus
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of the estonian academy of sciences
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The Besicovitch covering theorem and near-minimizers for the couple (L2, BV); pp. 29–33
PDF | doi: 10.3176/proc.2010.1.05

Authors
Irina Asekritova, Natan Kruglyak
Abstract
Let Ω be a rectangle in R2. A new algorithm for the construction of a near-minimizer for the couple (L2(Ω), BV(Ω)) is presented. The algorithm is based on the Besicovitch covering theorem and analysis of local approximations of the given function f L2(Ω).
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