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math.CV2026
Recovering Hardy spaces from optimal domains of integration operators
Setareh Eskandari, Antti Perälä
We study the optimal domains for bounded Volterra integration operators between Hardy spaces and of the unit ball. It is shown that the optimal domain of a bounde…
math.CV2017★ 1 cited
Two-sided norm estimates for Bergman-type projections with an asymptotically sharp lower bound
Congwen Liu, Antti Perälä, Lifang Zhou
We obtain new two-sided norm estimates for the family of Bergman-type projections arising from the standard weights where . As , the lower bound is sha…
math.CV2015★ 14 cited
Asymptotic variance of the Beurling transform
Kari Astala, Oleg Ivrii, Antti Perälä +1
We study the interplay between infinitesimal deformations of conformal mappings, quasiconformal distortion estimates and integral means spectra. By the work of McMullen, the second…