Aniq fanlar

Capacity of the -Brjuno-R¨ussmann set

-Brjuno-Russmann condition, Brjuno condition, C-capacity, h-Hausdorff measure.

Авторы

  • Nurali Akramov National University of Uzbekistan, Tashkent, Uzbekistan, Узбекистан

In this work, we study generalized Brjuno-R¨ussmann condition and prove new capacity estimate for
the sets of parameters of this condition. In particular, we show that the complement of parameters
of -Brjuno-Ru¨ussmann condition has zero logarithmic capacity.