J. A. Virtanen

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math.CV2026

Sharp exponential integrability of conjugate functions

David Norrbo, Jani Virtanen

We prove that if a real-valued function $f \in L^{1}$ on the complex unit circle has a gap of width at least $π$ in its essential range, then $exp (f)$ is not integrable, w…

math.CV2024

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 $Γ_{μ}$ acting on the Bergman spaces $A^{p}$ of the unit disc for $1 \leq p < \infty$ . In particular, we characterize the…