Mean Lipschitz conditions on Bergman space

P. Galanopoulos, A. G. Siskakis, G. Stylogiannis

For $f$ analytic on the unit disc let $r_t(f)(z)=f(e^{it}z)$ and $f_r(z)=f(rz)$, rotations and dilations respectively. We show that for $f$ in the Bergman space $A^p$ and $0<α\leq…