Tbilisi Analysis & PDE Seminar

Next seminar

Dear Colleagues! V. Kupradze Institute of Mathematics of the University of Georgia is pleased to invite you to the Online Tbilisi Analysis & PDE Seminar. The seminar is held bi-weekly on Wednesdays at 20:00 local time in Tbilisi (compare to your local time https://www.timeanddate.com/worldclock/georgia/tbilisi).

Talk on July 1, 2026

Speaker: Prof. Oleksiy Karlovych, NOVA University Lisbon, Portugal;
E-mail:  oyk@fct.unl.pt;
docentes.fct.unl.pt/oyk/

Title: “Lower estimates for the norm and measures of noncompactness of Wiener-Hopf type operators”

Abstract: We consider multidimensional generalisations of Wiener-Hopf operators and show that, under mild restrictions on the underlying Banach function space, their norm is estimated below by the L∞ norm of the symbol, while their Kuratowski measure of noncompactness is estimated below by half that norm. Additionally, we show that for a classical Wiener-Hopf operator on a (separable) translation-invariant Banach function space over the half-line, its Hausdorff measure of noncompactness, its essential norm, and its norm are all equal.
The talk is based on a joint work with Eugene Shargorodsky (King’s college London).

Download Poster: Link to Download

How to join: The seminar is organized on the Google Meet platform. If you are already registered, you do not need to register again. Otherwise, to join the seminar, please send an email to kim@ug.edu.ge or register here:

https://forms.gle/xfQJ9fg1uqe7CrZw6

You will then receive further information.

Google Meet Join Information

Organizers:
1. R. Duduchava, Institute of Mathematics, University of Georgia, Tbilisi, Georgia
2. E. Shargorodsky, Department of Mathematics, King’s College London, UK
3. A. Meskhi, Kutaisi International University, Kutaisi, Georgia

Secretary:
M. Tsaava, Institute of Mathematics, University of Georgia, Tbilisi, Georgia

Technical support:
T. Kuzmina, Institute of Mathematics, University of Georgia, Tbilisi, Georgia
G. Tutberidze, Institute of Mathematics, University of Georgia, Tbilisi, Georgia

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