Carleson Measures and Reproducing Kernel Thesis in Dirichlet-type spaces
Functional Analysis
2014-02-17 v3 Complex Variables
Abstract
In this paper, using a generalization of a Richter and Sundberg representation theorem, we give a new characterization of Carleson measures for the Dirichlet-type space when is a finite sum of point masses. A reproducing kernel thesis result is also established in this case.
Cite
@article{arxiv.1009.1801,
title = {Carleson Measures and Reproducing Kernel Thesis in Dirichlet-type spaces},
author = {Gerardo Chacòn and Emmanuel Fricain and Mahmood Shabankhah},
journal= {arXiv preprint arXiv:1009.1801},
year = {2014}
}