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

collaborators

11 papers

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…

math.FA2025

Weak cluster points of maximizing sequences on Banach spaces satisfying $(M_{p})$

David Norrbo

Given a bounded linear operator $T$ on a separable Banach space with property $(M_{p})$ , we prove that the smallest and the largest norm of weak cluster points of all maximizing sequ…

math.FA2025

Weak null maximum and integration of families of multiplication operators

David Norrbo

Let $X$ be a reflexive Hardy space or weighted Bergman space on the unit disk in the complex plane. For a bounded linear operator $S$ on $X$ , let $\textrm{wem}(S):= \sup_{(f_n)} \l…

math.FA2025

Essential norm and integration of a family of weighted composition operators

David Norrbo

We study the interchange of essential norm and integration of certain families of weighted composition operators acting on the standard weighted Bergman spaces $A_{α}^{p}$ , where $p > 1$ …

math.FA2025

Compactness and related properties of weighted composition operators on weighted BMOA spaces

David Norrbo

It is shown that a large class of properties coincide for weighted composition operators on a large class of weighted VMOA spaces, including the ones with logarithmic weights and t…

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

math.FA2022

Exact essential norm of generalized Hilbert matrix operators on classical analytic function spaces

Mikael Lindström, Santeri Miihkinen, David Norrbo

We compute the exact value of the essential norm of a generalized Hilbert matrix operator acting on weighted Bergman spaces $A_{v}^{p}$ and weighted Banach spaces $H_{v}^{\infty}$ of analy…

math.FA2020

Unified approach to spectral properties of multipliers

Mikael Lindström, Santeri Miihkinen, David Norrbo

Let $B_{n}$ be the open unit ball in $C^{n}$ . We characterize the spectra of pointwise multipliers $M_{u}$ acting on Banach spaces of analytic functions on $B_{n}$ …

The Hilbert matrix operator into the Bergman space

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

Sharp exponential integrability of conjugate functions

The Boundedness Problem for Generalized Hilbert Operators on Hardy Spaces

Weak cluster points of maximizing sequences on Banach spaces satisfying (Mp​)

Weak null maximum and integration of families of multiplication operators

Essential norm and integration of a family of weighted composition operators

Compactness and related properties of weighted composition operators on weighted BMOA spaces

Generalized Hilbert matrix operators acting on Bergman spaces

Exact essential norm of generalized Hilbert matrix operators on classical analytic function spaces

Unified approach to spectral properties of multipliers

Weak cluster points of maximizing sequences on Banach spaces satisfying $(M_{p})$