2 papers
math.DS2026
Julia Sets for Sequences of Monomials
Lubashan Pathirana, Carsten Lunde Petersen, Dimitris Vardakis
We study Julia sets arising from non-autonomous iteration of monomials on the Riemann sphere. We give a precise description of the Julia set associated to an arbitrary sequence of…
math.CA2024
Matrix-weighted estimates beyond Calderón-Zygmund theory
Spyridon Kakaroumpas, Thu Hien Nguyen, Dimitris Vardakis
We investigate matrix-weighted bounds for the sublinear non-kernel operators considered by F. Bernicot, D. Frey, and S. Petermichl. We extend their result to sublinear operators ac…