Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc

Abstract

We introduce Hausdorff operators over the unit disc and give conditions for boundedness of such operator in Bloch, Bergman, and Hardy spaces on the disc. Identity approximation by Hausdorff operators is also considered.

References in corpus (2)

• Hausdorff operators on holomorphic Hardy spaces and applications
• Boundedness of Hausdorff operators on Hardy spaces $H^1$ over locally compact groups