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摘要
We study positive weight functions omega(z) on the unit disk D such that integral(D) vertical bar f(z)vertical bar(p)omega(z)dA(z) < infinity ( ) if and only if integral(D) (1-vertical bar z vertical bar(2))(p)vertical bar f'(z)vertical bar(p)omega(z)dA(z) < infinity, where f is analytic on D and dA is area measure on D. We obtain some conditions on w that imply the equivalence above, and we apply our conditions to several important classes of weights that have appeared in the literature before.
- 出版日期2018
- 单位汕头大学
