Dear Colleagues and Students,<\/p>\n
You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Turgay Kaptano\u011flu (Bilkent)<\/p>\n
\u201cKelvin-M\u00f6bius-Invariant Harmonic Function Spaces on Real Unit Balls of Higher Dimensions\u201d<\/p>\n
Abstract: We define Kelvin-M\u00f6bius transforms as compositions with harmonic M\u00f6bius maps followed by Kelvin transforms to preserve harmonicity. We determine the harmonic function spaces on the real unit ball that are invariant under the action of these transforms.
\nFor each dimension at least 3, we identify the maximal and minimal invariant Banach spaces, the unique invariant Hilbert space, and all invariant Bergman-Besov spaces.
\nThere are essential differences between dimension 2 and higher dimensions. In dimensions 3 or higher, invariant spaces are defined with genuine norms, there is a whole family of invariant weighted Bergman spaces, and a unique invariant harmonic Hardy space exists.<\/p>\n
This is joint work with A. Ersin \u00dcreyen of Eski\u015fehir Teknik \u00dcniversitesi.<\/p>\n
Date: Tuesday, February 25, 2020
\nTime: 16:00
\nPlace: Mathematics Seminar Room SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"
Dear Colleagues and Students, You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Turgay Kaptano\u011flu (Bilkent) \u201cKelvin-M\u00f6bius-Invariant Harmonic Function Spaces on Real Unit Balls of Higher Dimensions\u201d Abstract: We define Kelvin-M\u00f6bius transforms as compositions with harmonic M\u00f6bius maps followed by Kelvin transforms to preserve [\u2026] <\/p>\n