3 papers
math.CA2019
Two-Weight Tb Theorems for Well-Localized Operators
Kelly Bickel, Taneli Korhonen, Brett D. Wick
This paper first defines operators that are "well-localized" with respect to a pair of accretive functions and establishes a global two-weight Tb theorem for such operators. Then i…
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 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^…