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math.CV2026
Optimal off-diagonal upper estimates for Bergman reproducing kernels
Atte Pennanen, Jouni Rättyä, Siyu Wang +1
In this paper, we establish a sharp off-diagonal pointwise upper estimate for the Bergman reproducing kernel associated with a radial weight on the unit disc. Our proof is self-con…
math.CV2022
Bergman projection and BMO in hyperbolic metric -- improvement of classical result
José Ángel Peláez, Jouni Rättyä
The Bergman projection , induced by a standard radial weight, is bounded and onto from to the Bloch space . However, is…
math.CV2014★ 78 cited
Embedding theorems for Bergman spaces via harmonic analysis
José Ángel Peláez, Jouni Rättyä
Let denote the Bergman space in the unit disc induced by a radial weight~ with the doubling property . The positiv…