Abstract
We utilize the -Carleson measure to investigate the bounded small Hankel operator acting between the Bergman-type space and on the complex unit ball for some . For , and , we have the conclusions: Suppose , and . Then is bounded if and only if is an -Carleson measure. Suppose , and Then is bounded if and only if is an -Carleson measure. Suppose , , N be a positive integer such that . If is an -Carleson measure, then is bounded. Let and . If and is bounded, then with . If is an -Carleson measure, then . But, there is an such that is not an -Carleson measure.
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