3 papers
math.CA2026
Parabolic weak porosity and parabolic Muckenhoupt distance functions
Henri Lahdelma, Kim Myyryläinen, Antti V. Vähäkangas
We develop the parabolic weak porosity to characterize the parabolic Muckenhoupt weights with time-lag. Our main result shows that a nonempty closed set is parabolic weakly p…
math.CA2025
Domains with globally exponentially integrable parabolic forward-in-time BMO
Kim Myyryläinen, Tuomas Oikari, Olli Saari
We characterize those open sets of the space time in which parabolic forward-in-time BMO functions are in a certain forward-in-time exponential integrability class. The characteriz…
math.CA2024
Characterizations of parabolic Muckenhoupt classes
Juha Kinnunen, Kim Myyryläinen
This paper extends and complements the existing theory for the parabolic Muckenhoupt weights motivated by one-sided maximal functions and a doubly nonlinear parabolic partial diffe…