Generalized integration operators on Hardy spaces

Chalmoukis, Nikolaos

doi:10.1090/proc/15016

Generalized integration operators on Hardy spaces
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Proc. Amer. Math. Soc. 148 (2020), 3325-3337 Request permission

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 Rättyä and another result by Cohn and Verbitsky.

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