77 citations · 243 across the 38 of their papers we have counts for
5 papers · 1 filter
On the failure of lower square function estimates in the non-homogeneous weighted setting
K. Domelevo, P. Ivanisvili, S. Petermichl +2
We show that the classical condition is not sufficient for a lower square function estimate in the non-homogeneous weighted space. We also show that under the ma…
The sharp square function estimate with matrix weight
Tuomas Hytönen, Stefanie Petermichl, Alexander Volberg
We prove the matrix conjecture for the dyadic square function, that is, a norm estimate of the matrix weighted square function, where the focus is on the sharp linear depende…
Various sharp estimates for semi-discrete Riesz transforms of the second order
Komla Domelevo, Adam Osekowski, Stefanie Petermichl
We give several sharp estimates for a class of combinations of second order Riesz transforms on Lie groups that are multiply connected, composed of a d…
Weighted little bmo and two-weight inequalities for Journé commutators
Irina Holmes, Stefanie Petermichl, Brett D. Wick
We characterize the boundedness of the commutators with biparameter Journé operators in the two-weight, Bloom-type setting, and express the norms of these commutators…
Convex body domination and weighted estimates with matrix weights
Fedor Nazarov, Stefanie Petermichl, Sergei Treil +1
We introduce the so called convex body valued sparse operators, which generalize the notion of sparse operators to the case of spaces of vector valued functions. We prove that Cald…