Atte Reijonen

activity

20182020

most citedA Characterization of One-component Inner Functions

4 citations · 4 across the 2 of their papers we have counts for

collaborators

4 papers

math.CA2020★ 4 cited

A Characterization of One-component Inner Functions

Artur Nicolau, Atte Reijonen

We present a characterization of one-component inner functions in terms of the location of their zeros and their associated singular measure. As consequence we answer several quest…

math.CV2019

Besov spaces induced by doubling weights

Atte Reijonen

Let $1 \leq p < \infty$ , $0 < q < \infty$ and $ν$ be a two-sided doubling weight satisfying $0 \leq r < 1 sup \frac{( 1 - r ) ^{q}}{\int _{r}^{1} ν ( t ) d t} \int_{0}^{r} \frac{ν ( s )}{( 1 - s ) ^{q}} d s < \infty.$ The…

math.CV2018

Remarks on one-component inner functions

Atte Reijonen

A one-component inner function $Θ$ is an inner function whose level set $Ω_{Θ} (ε) = {z \in D : ∣Θ (z) ∣ < ε}$ is connected for some $ε \in (0, 1)$ . We…

math.CV2018

Characterizations for inner functions in certain function spaces

Atte Reijonen, Toshiyuki Sugawa

For $\frac{1}{2} < p < \infty$ , $0 < q < \infty$ and a certain two-sided doubling weight $ω$ , we characterize those inner functions $Θ$ for which $$\|Θ'\|_{A^{p,q}_ω}^q=\int_0^1 \left(\int_0^{…