You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Yaman Paksoy (Bilkent University)
\n\u201cGrowth Of Markov Factors, Smoothness Of Green\u2019s Functions And Their Relations\u201d<\/p>\n
Abstract: For a given compact set E in the complex plane, the n\u2019th Markov factor is the norm of the differentiation operator acting on the finite dimensional space of polynomials of degree at most n. The set E is said to admit Markov Property (MP) if the sequence of Markov factors follow a polynomial growth. On the other hand, the set E is said to admit H\u00f6lder Continuity Property (HCP), if the corresponding Green function is H\u00f6lder continuous.
\nIt is well known that if E \u2208 HCP then E \u2208 MP. The inverse implication has been an open problem for many years. In this talk, we will examine the results in the literature regarding the latter and see the recent partial results obtained by V. Andrievskii and V. Totik.<\/p>\n
Date: Wednesday, December 6, 2023
\nTime: 13:45 \u2013 14:45
\nPlace: Mathematics Seminar Room, SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Yaman Paksoy (Bilkent University) \u201cGrowth Of Markov Factors, Smoothness Of Green\u2019s Functions And Their Relations\u201d Abstract: For a given compact set E in the complex plane, the n\u2019th Markov factor is the norm of the [\u2026] <\/p>\n