Harmonic conjugates on Bergman spaces induced by doubling weights

José Ángel Peláez, Jouni Rättyä

A radial weight $\omega$ belongs to the class $\hat{\mathcal{D}}$ if there exists $C=C(\omega )\ge 1$ such that ${\int }_r^1\omega (s)ds\le C{\int }_{\frac{1+r}{2}}^1\omega (s)ds$ for all $0\le r<1$.…