Pekka J. Nieminen

activity

20072018

collaborators

Showing math.FAShow all

5 papers · 1 filter

math.FA2018

Rigidity of weighted composition operators on $H^{p}$

Mikael Lindström, Santeri Miihkinen, Pekka J. Nieminen

We show that every non-compact weighted composition operator $f \mapsto u \cdot (f \circ ϕ)$ acting on a Hardy space $H^{p}$ for $1 \leq p < \infty$ fixes an isomorphic copy of the sequ…

math.FA2017

Structural rigidity of generalised Volterra operators on $H^{p}$

Santeri Miihkinen, Pekka J. Nieminen, Eero Saksman +1

We show that the non-compact generalised analytic Volterra operators $T_{g}$ , where $g \in BMOA$ , have the following structural rigidity property on the Hardy spaces $H^{p}$ f…

math.FA2016

Rigidity of composition operators on the Hardy space $H^{p}$

Jussi Laitila, Pekka J. Nieminen, Eero Saksman +1

Let $ϕ$ be an analytic map taking the unit disk $D$ into itself. We establish that the class of composition operators $f \mapsto C_{ϕ} (f) = f \circ ϕ$ exhibits a rather stro…

math.FA2011

Weak compactness and essential norms of integration operators

Jussi Laitila, Santeri Miihkinen, Pekka J. Nieminen

Let $g$ be an analytic function on the unit disc and consider the integration operator of the form $T_{g} f (z) = \int_{0}^{z} f g^{'} d ζ$ . We show that on the spaces $H^{1}$ and $B M O A$ the op…

math.FA2007

On the connected component of compact composition operators on the Hardy space

Eva A. Gallardo-Gutiérrez, Maria J. González, Pekka Nieminen +1

We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space $H^{2}$ on the unit disc. This answers a questi…

Rigidity of weighted composition operators on Hp

Structural rigidity of generalised Volterra operators on Hp

Rigidity of composition operators on the Hardy space Hp

Weak compactness and essential norms of integration operators

On the connected component of compact composition operators on the Hardy space

Rigidity of weighted composition operators on $H^{p}$

Structural rigidity of generalised Volterra operators on $H^{p}$

Rigidity of composition operators on the Hardy space $H^{p}$