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A Characterization of Dirichlet-inner Functions

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URI: https://hdl.handle.net/10016/32625
ISSN: 1661-8254
DOI: https://doi.org/10.1007/s11785-018-0786-5
UXXI: AR/0000026416
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Characterization_Seco_CAOT_2019_ps.pdf (454.53 KB)
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2019-06-01
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Springer
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Abstract
We study a concept of inner function suited to Dirichlet-type spaces. We characterize Dirichlet-inner functions as those for which both the space and multiplier norms are equal to 1.
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Dirichlet spaces, Inner functions, Multipliers
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Seco, D. (2019). A Characterization of Dirichlet-inner Functions. Complex Analysis and Operator Theory, 13(4), pp. 1653–1659.
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