The optimal range of the Calderòn operator and its applications
arXiv:1908.09548 · doi:10.1016/j.jfa.2019.05.012
Abstract
We identify the optimal range of the Calderòn operator and that of the classical Hilbert transform in the class of symmetric quasi-Banach spaces. Further consequences of our approach concern the optimal range of the triangular truncation operator, operator Lipschitz functions and commutator estimates in ideals of compact operators.
47