Harmonically weighted dirichlet spaces associated with finitely atomic measures
- Cite this article as:
- Sarason, D. Integr equ oper theory (1998) 31: 186. doi:10.1007/BF01214250
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The space D(μ) associated with a positive measure μ on the unit circle is a Hilbert space made from the holomorphic functions in the unit disk whose derivatives are square integrable when weighted against the Poisson integral of μ. In this paper the structure of D(μ) is investigated for the case where μ is a finite sum of atoms. The wandering vectors of the shift operator on D(μ) are described.