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math.CV2026
Sharp exponential integrability of conjugate functions
David Norrbo, Jani Virtanen
We prove that if a real-valued function on the complex unit circle has a gap of width at least in its essential range, then is not integrable, w…
math.CV2026
The Boundedness Problem for Generalized Hilbert Operators on Hardy Spaces
David Norrbo, José Ángel Peláez, Fanglei Wu
Let be analytic in the unit disc and consider the generalized Hilbert operator The boundedness of on is…
math.CV2024★ 4 cited
Generalized Hilbert matrix operators acting on Bergman spaces
Carlo Bellavita, Vassilis Daskalogiannis, Santeri Miihkinen +3
In this article we study the generalized Hilbert matrix operator acting on the Bergman spaces of the unit disc for . In particular, we characterize the…