Weighted conformal invariance of Banach spaces of analytic functions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2021.108946
Abstract: Abstract We consider Banach spaces of analytic functions in the unit disc which satisfy a weighted conformal invariance property, that is, for a fixed α > 0 and every conformal automorphism φ of the disc,… read more here.
Keywords: weighted conformal; conformal invariance; banach spaces; analytic functions ... See more keywords
Hausdorff operators on some classical spaces of analytic functions
Sign Up to like & getrecommendations! Published in 2024 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439524000158
Abstract: Abstract In this note, we start on the study of the sufficient conditions for the boundedness of Hausdorff operators $$ \begin{align*}(\mathcal{H}_{K,\mu}f)(z):=\int_{\mathbb{D}}K(w)f(\sigma_w(z))d\mu(w)\end{align*} $$ on three important function spaces (i.e., derivative Hardy spaces, weighted Dirichlet spaces, and… read more here.
Keywords: mathbb; classical spaces; spaces analytic; hausdorff operators ... See more keywords