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Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk
Calderón-Zygmund decomposition Carleson measure weighted Bergman space
2012/6/21
We prove that, for every $\alpha > -1$, the pull-back measure $\phi ({\cal A}_\alpha)$ of the measure $d{\cal A}_\alpha (z) = (\alpha + 1) (1 - |z|^2)^\alpha \, d{\cal A} (z)$, where ${\cal A}$ is the...