Postdoc (Habilitand)
Julius-Maximilians-Universität Würzburg
Institut für Mathematik
Campus Hubland Nord
Emil-Fischer-Straße 41
97074 Würzburg, Germany
Email: spyridon.kakaroumpas [at] uni-wuerzburg.de
I am currently a postdoc (Habilitand) at the Institute of Mathematics at the University of Würzburg in Germany, mentored by Professor Stefanie Petermichl. I completed my PhD in spring 2020 at Brown University, advised by Professor Sergei Treil. Here is my curriculum vitae.
Research
My research interests revolve around harmonic analysis, in particular scalar and matrix weighted estimates for classical operators, and connections with probability theory.
Papers and Preprints
Multilinear matrix weights, joint with Z. Nieraeth, submitted, preprint available at arXiv:2412.15026
Vector valued estimates for matrix weighted maximal operators and product BMO, joint with O. Soler i Gibert, submitted, preprint available at arXiv:2407.16776
Matrix-weighted estimates beyond Calderón-Zygmund theory, joint with T. H. Nguyen and D. Vardakis, submitted, preprint at arXiv:2404.02246
Matrix-weighted little BMO spaces in two parameters, joint with O. Soler i Gibert, submitted, preprint at arXiv:2312.06414
Boundedness of Journé operators with matrix weights, joint with K. Domelevo, S. Petermichl, and O. Soler i Gibert, J. of Math. Anal. and Appl. 532 (2) (2024)
Dyadic lower little BMO estimates, joint with K. Domelevo, S. Petermichl, and O. Soler i Gibert, Publ. Mat. 67(2), p. 661 – 685 (2023)
Dyadic product BMO in the Bloom setting, joint with O. Soler i Gibert, J. London Math. Soc. 106, p. 899 – 935 (2022)
Two-weight estimates for sparse square functions and the separated bump conjecture, Trans. Amer. Math. Soc. 375, p. 3003 – 3037 (2022)
"Small step" remodeling and counterexamples for weighted estimates with arbitrarily "smooth" weights, joint with Sergei Treil, Adv. Math. 376 (2021)
A note on a two-weight estimate for the dyadic square function, Proc. Amer. Math. Soc. 147 (2019), p. 3377 – 3388