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Tbilisi Analysis & PDE Seminar
Seminar of our partners (South Federal University, Rostov-on-Don)
Seminar on Analysis, Differential Equations and Mathematical Physics
Our Seminar
Tbilisi Analysis & PDE Seminar
Dear Colleagues! 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 Mondays at 20:00 local time in Tbilisi (compare to your local time https://www.timeanddate.com/worldclock/georgia/tbilisi).
Seminar on June 20, 2022
Speaker: Prof. Lars-Erik Persson, UiT The Arctic University of Norway; https://www.larserikpersson.se/
The title of the lecture: “On my life with Hardy and his inequalities”
Dedication: This lecture is dedicated to the memory of our dear friend, colleague and important collaborator Professor Vakhtang Kokilashvili.
Abstract: First I will describe some background and historical remarks from the beginning of this remarkable story, which started around 100 years ago. After that I will present a fairly new convexity approach to prove Hardy-type inequalities, which was not discovered by Hardy himself and many others, see [1], [2] and [3]. I continue by presenting some selected parts of the story until 2017, where I myself have been involved to some extent, see [1] and [4]. Finally, I present some examples of remarkable new results after 2017, which show that this area is still a source of inspiration for new research. In particular, to also illustrate my close connection to Georgian mathematics I mention some new Hardy-type results we developed and used in our new book [5]. Several open questions are pointed out.
[1] A. Kufner, L.E. Persson and N. Samko, Weighted Inequalities of Hardy Type, World Scientific, Second Edition, New York, London, etc., 2017 (480 pages).
[2] L.E. Persson, Lecture Notes, Collège de France, Pierre-Louis Lions Seminar, November 2015 (48 pages).
[3] C. Niculescu and L.E. Persson, Convex Functions and Their Applications, CMS Books in Mathematics, Springer, Second Edition, 2018 (431 pages)
[4] V. Kokilashvili, A. Meskhi and L.E. Persson, Weighted Norm Inequalities for Integral transforms with Product Kernels, Nova Scientific Publishers, Inc., New York, 2010 (355 pages).
[5] L.E. Persson, G. Tephnadze and F. Weisz, Martingale Hardy Spaces and Summability of Vilinkin-Fourier Series, Springer, New York, to appear 2022 (610 pages).
Download poster: Link to Download
How to join: The seminar is organized on the Cisco Webex Meetings. If you are already registered, you don't need to register again. Otherwise, to join the seminar please send an e-mail to seminarim@ug.edu.ge or register here:
https://forms.gle/xfQJ9fg1uqe7CrZw6
You will then receive further information.
You can also join an online seminar without installing Webex, by just clicking on the meeting link of the seminar. You will be connected via browser e.g. Firefox, Google Chrome, Microsoft Edge or whatever.
Join from the meeting link: https://ug.webex.com/ug/j.php?MTID=m9cc44ae842d700543a8d5ee48293c020
Organizers:
Secretary:
M. Tsaava, Institute of Mathematics, University of Georgia, Tbilisi
Technical support:
G. Tutberidze, Institute of Mathematics, University of Georgia, Tbilisi
Z. Vashakidze, Institute of Mathematics, University of Georgia, Tbilisi
