ANALYSIS
SEMINAR

"Compact sets with preassigned
growth of subsequence of Markov's factors"

By

Alexander Goncharov

(Bilkent University)

Abstract: Given infinite compact set K; the Markov factor Mn(K) is the norm of the operator of differentiation in the
space of polynomials of degree n with the uniform norm. Using equilibrium Cantor-type
sets, we construct a set with preassigned growth of subsequence of Markov’s
factors. Also it is shown that, in general, the Markov inequality does not hold
with the best Markov’s exponent. This gives an affirmative answer to the
Baran-Bialas’s problem.

Tea and cookies will be served before the
seminar.

Date:
Tuesday, October 4, 2011

Time: 15.40 – 16:30

Place: Mathematics Seminar Room,
SA-141