Dmitriy M. Stolyarov

Weak integral conditions for BMO

We study the question of how much one can weaken the defining condition of BMO. Specifically, we show that if

Anisotropic Ornstein noninequalities

Q

Formula of regularized traces

is a cube in

Bellman function for extremal problems in BMO

\mathbb{R}^n

Bellman VS. Beurling: sharp estimates of uniform convexity for ^{} spaces

and

Sharp estimates of integral functionals on classes of functions with small mean oscillation

h:[0,\infty)\to[0,\infty)

Theory of locally concave functions and its applications to sharp estimates of integral functionals

is such that

Bellman Function for Extremal Problems in BMO II: Evolution

h(t)\underset{t\to\infty}{\longrightarrow}\infty,

Bellman function for extremal problems in

then