4 papers
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…
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…
Weak Gurov-Reshetnyak class in metric measure spaces
Kim Myyryläinen
We introduce a weak Gurov-Reshetnyak class and discuss its connections to a weak Muckenhoupt condition and a weak reverse Hölder inequality in the setting of metric meas…
Parabolic Muckenhoupt Weights on Spaces of Homogeneous Type
Juha Kinnunen, Kim Myyryläinen, Dachun Yang +1
This work discusses parabolic Muckenhoupt weights on spaces of homogeneous type, i.e.\ quasi-metric spaces with both a doubling measure and an additional monotone geodesic property…