Removable singularities in the Nevanlinna class and in the Hardy classes
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- by Juhani Riihentaus
- Proc. Amer. Math. Soc. 102 (1988), 546-550
- DOI: https://doi.org/10.1090/S0002-9939-1988-0928977-0
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Abstract:
We show that certain sets in ${{\mathbf {C}}^n},n \geq 2$, which we call $n$-small, are removable singularities for holomorphic functions in the Nevanlinna class. Since our class of sets includes polar sets (in ${{\mathbf {R}}^{2n}}$) our result includes the previous removable singularity results for the Nevanlinna class. We give also a related result for a subclass of the Hardy class.References
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Bibliographic Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 546-550
- MSC: Primary 32D20
- DOI: https://doi.org/10.1090/S0002-9939-1988-0928977-0
- MathSciNet review: 928977