Removable singularities for $n$-harmonic functions and Hardy classes in polydiscs
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- by David Singman PDF
- Proc. Amer. Math. Soc. 90 (1984), 299-302 Request permission
Abstract:
Let $\phi$ be any strongly convex function. For an open subset $G$ of a polydisc ${U^n}$ the Hardy class ${H_\phi }\left ( G \right )$ is the set of analytic functions $f$ on $G$ for which $\phi \circ \log \left | f \right |$ has an $n$-harmonic majorant. It is shown that ${H_\phi }\left ( {{U^n} \setminus E} \right ) = {H_\phi }\left ( {{U^n}} \right )$ for any relatively closed $n$-negligible subset $E$ of ${U^n}$.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 299-302
- MSC: Primary 32D20; Secondary 32A35
- DOI: https://doi.org/10.1090/S0002-9939-1984-0727254-7
- MathSciNet review: 727254