My research has been revolving around Muckenhoupt weights, function spaces of BMO type and weighted norm inequalities in various contexts such as the parabolic setting and metric measures spaces. In general I am interested in topics in harmonic analysis and in their connections to the regularity theory of partial differential equations.
Publications
D. Cruz-Uribe and K. Myyryläinen, Two-weight norm inequalities for parabolic fractional maximal functions (submitted).
J. Kinnunen and K. Myyryläinen, Characterizations of parabolic reverse Hölder classes, J. Anal. Math. (2025).
K. Myyryläinen, C. Pérez and J. Weigt, Weighted fractional Poincaré inequalities via isoperimetric inequalities, Calc. Var. Partial Differential Equations 63 (2024), Paper No. 205.
J. Kinnunen and K. Myyryläinen, Characterizations of parabolic Muckenhoupt classes, Adv. Math. 444 (2024), Paper No. 109612.
K. Myyryläinen and D. Yang, Parabolic John–Nirenberg spaces with time lag, Math. Z. 306 (2024), no. 3, 46.
K. Myyryläinen, Weak Gurov–Reshetnyak class in metric measure spaces, Proc. Amer. Math. Soc. 152 (2024), no. 5, 2103-2116.
J. Kinnunen, K. Myyryläinen, D. Yang and C. Zhu, Parabolic Muckenhoupt weights with time lag on spaces of homogeneous type with monotone geodesic property, Potential Anal. 60 (2024), 1513-1569.
J. Kinnunen, K. Myyryläinen and D. Yang, John–Nirenberg inequalities for parabolic BMO, Math. Ann. 387 (2023), 1125-1162.
J. Kinnunen and K. Myyryläinen, Dyadic John–Nirenberg space, Proc. Roy. Soc. Edinburgh Sect. A 153 (2023), 1-18.
K. Myyryläinen, Median-type John–Nirenberg space in metric measure spaces, J. Geom. Anal. 32 (2022), no. 4, 131.
All my papers can also be found in arXiv.
My doctoral thesis titled Parabolic bounded mean oscillation and Muckenhoupt weights can be found here.
Invited talks
FSDONA24, Oberhof, September 2024
9ECM, Sevilla, July 2024
Workshop on Nonlinear Parabolic PDEs, Institut Mittag-Leffler, May 2024
Seminar on Stochastics and PDEs, University of Jyväskylä, May 2024
International Prague seminar on function spaces, Charles University, Feb 2024
MathDays24, Aalto University, Jan 2024
Seminar talk, Beijing Normal University, Nov 2023
IWOTA 2023, University of Helsinki, Jul 2023
IWOTA 2022, Krakow, Sep 2022
NCM28, Aalto University, Aug 2022
AGENT–Forum, Aalto University, Oct 2021