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math.CA2013
Weak integral conditions for BMO
Alexander A. Logunov, Leonid Slavin, Dmitriy M. Stolyarov +2
We study the question of how much one can weaken the defining condition of BMO. Specifically, we show that if is a cube in and is suc…
math.FA2013
Virtual continuity of the measurable functions of several variables, and Sobolev embedding theorems
Anatoly Vershik, Pavel Zatitskiy, Fedor Petrov
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…