A technique for characterizing Carleson measures on Bergman spaces

Luecking, Daniel

doi:10.1090/S0002-9939-1983-0687635-6

A technique for characterizing Carleson measures on Bergman spaces
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by Daniel Luecking

Proc. Amer. Math. Soc. 87 (1983), 656-660

DOI: https://doi.org/10.1090/S0002-9939-1983-0687635-6

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Abstract:

A method is presented for characterizing Carleson-type measures relative to Bergman spaces. This method applies to the standard weighted and unweighted Bergman spaces on the unit ball in ${{\mathbf {C}}^n}$ to yield simple proofs of the known results. It also extends these results to domains more general than balls.

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Embedding theorems for weighted classes of harmonic and analytic functions

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