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Uncovers conditions for boundedness and compactness of linear operators in Bergman spaces, suggesting improvements over prior theories.
We study the boundedness of the linear operator S on Lᵖₐ(dAα)~(0<p<∞ ) . In particular, we obtain a sufficient and necessary condition for the compactness of the linear operator S on Lᵖₐ(dAα)~(1<p<∞ ) . Our results weaken the assumptions of earlier results of J. Miao and D. Zheng in a certain sense.
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Lou et al. (2026) studied this question.
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