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math.CV2018★ 1 cited
Radial averaging operator acting on Bergman and Lebesgue spaces
Taneli Korhonen, Jose Angel Pelaez, Jouni Rattya
It is shown that the radial averaging operator 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^…