1 citations · 2 across the 5 of their papers we have counts for
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Two-weight norm inequalities for parabolic fractional maximal functions
David Cruz-Uribe, Kim Myyryläinen
We prove two-weight norm inequalities for parabolic fractional maximal functions using parabolic Muckenhoupt weights. In particular, we prove a two-weight, weak-type estimate and F…
Parabolic John-Nirenberg spaces with time lag
Kim Myyryläinen, Dachun Yang
We introduce a parabolic version of the so-called John-Nirenberg space that is a generalization of functions of parabolic bounded mean oscillation. Parabolic John-Nirenberg inequal…
Weighted fractional Poincaré inequalities via isoperimetric inequalities
Kim Myyryläinen, Carlos Pérez, Julian Weigt
Our main result is a weighted fractional Poincaré-Sobolev inequality improving the celebrated estimate by Bourgain-Brezis-Mironescu. This also yields an improvement of the classica…
John-Nirenberg inequalities for parabolic BMO
Juha Kinnunen, Kim Myyryläinen, Dachun Yang
We discuss a parabolic version of the space of functions of bounded mean oscillation related to a doubly nonlinear parabolic partial differential equation. Parabolic John-Nirenberg…