Composition operators with closed range

Zorboska, Nina

doi:10.1090/S0002-9947-1994-1236226-9

Composition operators with closed range
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by Nina Zorboska PDF

Trans. Amer. Math. Soc. 344 (1994), 791-801 Request permission

Abstract:

We characterize the closed-range composition operators on weighted Bergman spaces in terms of the ranges of the inducing maps on the unit disc. The method uses Nevanlinna’s counting function and Luecking’s results on inequalities on Bergman spaces.

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