3 papers
math.FA2026
Boundedness of Bilinear Bessel Potentials
Ana Čolović, Xinyu Gao
In analogy with bilinear Riesz potentials, we introduce bilinear Bessel potentials and characterize their boundedness from into Lebesgue and Lorentz spaces $L^{r,α}…
math.FA2025
Boundedness of a composition of dyadic paraproducts
Ana Čolović
We resolve the question of the boundedness of the composition of dyadic paraproducts, first posed by Pott, Reguera, Sawyer, and Wick in~\cite{PotCarSawWic}, by providing necessary…
math.FA2025
Weighted Boundedness of a Composition of Paraproducts
Ana Čolović
In this paper we offer alternate upper bound for the operator to the ones present in literature, thus extending the known upper bounds from the setting…