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We give a survey of results on zero distribution and factorization ofanalytic functions in the unit disc in classes defined by the growth of$\log|f(re^{i\theta})|$ in the uniform and integral metrics. We restrictourself by the case of finite order of growth. For a Blaschke product $B$ weobtain a necessary and sufficient condition for the uniform boundedness of all$p$-means of $\log|B(re^{i\theta})|$, where $p>1$.

Growth, zero distribution and factorization of analytic functions of moderate growth in the unit disc