4 papers
Sharp restricted weak-type estimates for sparse operators
Irina Holmes Fay, Guillermo Rey, Kristina Ana Škreb
We find the exact Bellman function associated to the level-sets of sparse operators acting on characteristic functions.
Continuous sparse domination and dimensionless weighted estimates for the Bakry Riesz vector
Komla Domelevo, Stefanie Petermichl, Kristina Ana Škreb
We present a fundamentally new proof of the dimensionless Lp boundedness of the Bakry Riesz vector on manifolds with bounded geometry. Our proof has the significant advantage that…
Norm-variation of cubic ergodic averages
Polona Durcik, Kristina Ana Škreb
We prove a quantitative result on norm convergence of cubic ergodic averages with respect to commuting measure-preserving transformations. We use harmonic analysis techni…
Norm-variation of ergodic averages with respect to two commuting transformations
Polona Durcik, Vjekoslav Kovač, Kristina Ana Škreb +1
We study double ergodic averages with respect to two general commuting transformations and establish a sharp quantitative result on their convergence in the norm. We approach the p…