Carleson measures and reproducing kernel thesis in Dirichlet-type spaces
- 23 September 2013
- journal article
- research article
- Published by American Mathematical Society (AMS) in St. Petersburg Mathematical Journal
- Vol. 24 (6), 847-861
- https://doi.org/10.1090/s1061-0022-2013-01269-6
Abstract
In the paper, a generalization of a Richter and Sundberg representation theorem is employed to obtain a new characterization of Carleson measures for the Dirichlet-type space <!-- MATH $\mathcal {D}(\mu )$ --> when is a finite sum of point masses. A reproducing kernel thesis result is also established in this case.
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