In the paper we prove several multiplier theorems on the Hardy spaces Hλp(D) and the Bergman spaces Aλp(D) associated with λ-analytic functions on the unit disk D, and some inequalities on coefficients of functions in the Bergman spaces Aλp(D), where 2λ/(2λ+1)<p<∞.
Qian et al. (Wed,) studied this question.
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