Virtual continuity of the measurable functions of several variables, and Sobolev embedding theorems

Preprint English OPEN
Vershik, Anatoly; Zatitskiy, Pavel; Petrov, Fedor;
(2013)
  • Subject: 28A60, 37A30, 46A380 | Mathematics - Functional Analysis

Classical Luzin's theorem states that the measurable function of one variable is "almost" continuous. This is not so anymore for functions of several variables. The search of right analogue of the Luzin theorem leads to a notion of virtually continuous functions of seve... View more
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