About

I am a fourth-year PhD student in Mathematics at Aalto University, under the supervision of Juha Kinnunen and affiliated with the NPDE group. I am interested in harmonic analysis, its connections to PDEs, and real analysis. Currently, I am working on Muckenhoupt weights and on different types of spaces of functions of bounded mean oscillation (BMO).

Publications

J. Kinnunen and K. Myyryläinen, Characterizations of parabolic reverse Hölder classes (submitted).

K. Myyryläinen, C. Pérez and J. Weigt, Weighted fractional Poincaré inequalities via isoperimetric inequalities (submitted).

J. Kinnunen and K. Myyryläinen, Characterizations of parabolic Muckenhoupt classes, Adv. Math. 444 (2024), 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), 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.