Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 10 Issue 3
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- Pages.633-642
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- 1995
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
Multipliers on the dirichlet space $D(Omega)$
Abstract
Recently S. Axler proved that every sequence in the unit disk U converging to the boundary contains an interpolating subsequence for the multipliers of the Dirichlet space D(U). In this paper we generalizes Axler's result to the finitely connected planer domains such that the Dirichlet spaces are contained in the Bergman spaces.