J. Rättyä

activity

20152024

most citedCompact differences of composition operators on Bergman spaces induced by doubling weights

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

collaborators

Showing 2018Show all

3 papers · 1 filter

math.CV2018

Radial averaging operator acting on Bergman and Lebesgue spaces

Taneli Korhonen, Jose Angel Pelaez, Jouni Rattya

It is shown that the radial averaging operator $T_{ω} (f) (z) = \frac{\int _{∣ z ∣}^{1} f ( s \frac{z}{∣ z ∣} ) ω ( s ) d s}{ω ( z )}, ω (z) = \int_{∣ z ∣}^{1} ω (s) d s,$ induce…

math.CV2018

Hankel operators induced by radial Bekollé-Bonami weights on Bergman spaces

José Ángel Peláez, Antti Perälä, Jouni Rättyä

We study big Hankel operators $H_{f}^{ν} : A_{ω}^{p} \to L_{ν}^{q}$ generated by radial Bekollé-Bonami weights $ν$ , when $1 < p \leq q < \infty$ . Here the radial weight $ω$ is assumed to satisfy a two…

math.CV2018

Radial two weight inequality for maximal Bergman projection induced by a regular weight

Taneli Korhonen, José Ángel Peláez, Jouni Rättyä

It is shown in quantitative terms that the maximal Bergman projection \begin{equation*} P^{+}_ω(f)(z)=\int_\mathbb{D} f(ζ)|B^ω_z(ζ)|ω(ζ)\,dA(ζ), \end{equation*} is bounded from $L^…