It is know that boundedness of the commutator $[b,H]$ on weighted $L^p$ spaces for $1< p< \infty$ is characterized by $b$ being in a certain BMO space adapted to the given weights. In this talk, we present the case $p=1$ and discuss the space that characterizes boundedness of $[b,H]$ on the weighted Hardy space $H^1(w)$ for certain $Ap$ weights.
Boundedness of commutators on weighted Hardy and BMO spaces
Marie-Jose Kuffner, Johns Hopkins UniversityAuthors: Marie-Jose Kuffner
2022 AWM Research Symposium
Women in Analysis Research Network - Special Session for Graduate Students and Postdoctoral Fellows