46 citations · 162 across the 32 of their papers we have counts for
9 papers · 1 filter
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…
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…
Characterizations of weak reverse Hölder inequalities on metric measure spaces
Juha Kinnunen, Emma-Karoliina Kurki, Carlos Mudarra
We present ten different characterizations of functions satisfying a weak reverse Hölder inequality on an open subset of a metric measure space with a doubling measure. Among other…
A maximal function approach to two-measure Poincaré inequalities
Juha Kinnunen, Riikka Korte, Juha Lehrbäck +1
This paper extends the self-improvement result of Keith and Zhong in [16] to the two-measure case. Our main result shows that a two-measure -Poincaré inequality for $1<p<\in…
Maximal function estimates and self-improvement results for Poincaré inequalities
Juha Kinnunen, Juha Lehrbäck, Antti V. Vähäkangas +1
Our main result is an estimate for a sharp maximal function, which implies a Keith-Zhong type self-improvement property of Poincaré inequalities related to differentiable structure…