[Turkmath:7911] [Fwd: Analysis Seminar]

H. Turgay Kaptanoglu kaptan at fen.bilkent.edu.tr
3 Eki 2011 Pzt 16:40:51 EEST


---------------------------- Original Message ----------------------------
Subject: Analysis Seminar
From:    "Meltem SAGTURK" <sagturk at bilkent.edu.tr>
Date:    Mon, October 3, 2011 13:18
To:      "Math Faculty" <mathfac at fen.bilkent.edu.tr>
         "Math Grad" <mathgrad at fen.bilkent.edu.tr>
         gergun at cankaya.edu.tr
--------------------------------------------------------------------------

Dear all,

You are cordially invited to Analysis Seminar.

Title : Compact sets with preassigned growth of Markov's factors.

Speaker:  Alexander Goncharov.

Abstract : Given infinite compact set K,  the Markov factor M_n(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
Time: 15:40-16:30
Place: SAZ 141

Regards,
A.Goncharov.
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