Generalized Integration Operators on Hardy Spaces
Complex Variables
2023-05-05 v1 Functional Analysis
Abstract
We introduce a natural generalization of a well studied integration operator acting on the family of Hardy spaces in the unit disc. We study the boundedness and compactness properties of the operator and finally we use these results to give simple proofs of a result of R\"atty\"a and another result by Cohn.
Cite
@article{arxiv.1909.00636,
title = {Generalized Integration Operators on Hardy Spaces},
author = {Nikolaos Chalmoukis},
journal= {arXiv preprint arXiv:1909.00636},
year = {2023}
}
Comments
12 pages