Hausdorff content and rational approximation in fractional Lipschitz norms
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- by Anthony G. O’Farrell PDF
- Trans. Amer. Math. Soc. 228 (1977), 187-206 Request permission
Abstract:
For $0 < \alpha < 1$, we characterise those compact sets X in the plane with the property that each function in the class ${\text {lip}}(\alpha ,X)$ that is analytic at all interior points of X is the limit in ${\text {Lip}}(\alpha ,X)$ norm of a sequence of rational functions. The characterisation is in terms of Hausdorff content.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 228 (1977), 187-206
- MSC: Primary 30A82
- DOI: https://doi.org/10.1090/S0002-9947-1977-0432887-2
- MathSciNet review: 0432887