Taneli Korhonen

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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

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^…