D. Norrbo

activity

20202026

most citedGeneralized Hilbert matrix operators acting on Bergman spaces

4 citations · 4 across the 7 of their papers we have counts for

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math.FA2026

The Hilbert matrix operator into the Bergman space

David Norrbo

We prove that the Hilbert matrix operator $H : A_{l n^{α}}^{2} \to A^{2}$ is bounded when $α \geq 2$ and that $H$ does not map $A_{l n^{α}}^{2}$ into $A^{2}$ when $α < 2$ , solving an open problem…

math.FA2026

The essential norm, block sizes, and some Generalized Hilbert operators on lp

David Norrbo

We examine the generalized Hilbert (matrix) operators $H_{g, γ} : (a_{n}) \mapsto n = 1 \sum \infty (\frac{k}{n})^{γ} \frac{g _{k} a _{n}}{n + k}$ on the $ℓ^{p}$ spaces, $1<p<\…

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, where…

math.CV2026

The Boundedness Problem for Generalized Hilbert Operators on Hardy Spaces

David Norrbo, José Ángel Peláez, Fanglei Wu

Let $g$ be analytic in the unit disc and consider the generalized Hilbert operator $H_{g} (f) (z) = \int_{0}^{1} f (t) g^{'} (t z) d t .$ The boundedness of $H_{g}$ on $H^{p}$ is…