1 citations · 3 across the 8 of their papers we have counts for
8 papers
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…
Characterizations of parabolic reverse Hölder classes
Juha Kinnunen, Kim Myyryläinen
This paper discusses parabolic reverse Hölder inequalities and their connections to parabolic Muckenhoupt weights. The main result gives several characterizations for this class of…
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…
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…
Dyadic John-Nirenberg space
Juha Kinnunen, Kim Myyryläinen
We discuss the dyadic John-Nirenberg space that is a generalization of functions of bounded mean oscillation. A John-Nirenberg inequality, which gives a weak type estimate for the…
Median-type John-Nirenberg space in metric measure spaces
Kim Myyryläinen
We study the so-called John-Nirenberg space that is a generalization of functions of bounded mean oscillation in the setting of metric measure spaces with a doubling measure. Our m…