Galanopoulos et al. proved that the mean Lipschitz condition for in the classical Bergman space is characterized by the growth of the area integral mean of its derivative as well as by the growth of the norm of the difference between and the dilated function of . We prove that functions in the weighted Bergman space with admissible Békollé weights also have the same property. Furthermore we investigate the Bloch and Zygmund-type spaces for admissible weight.
"Mean Lipschitz conditions and growth of area integral means of functions in Bergman spaces with an admissible Békollé weight." Rocky Mountain J. Math. 50 (2) 693 - 706, April 2020. https://doi.org/10.1216/rmj.2020.50.693