Abstract
C. Fefferman [F1], [F2] has recently given criteria for a function defined on a compact set to extend to a - or -function. His criteria involve uniformity of the - or -norms for extension from finite subsets of cardinality at most a large natural number depending only on and . We prove that one can take in both cases, where denotes the space of polynomials of degree at most in variables. We also show that the geometric “paratangent bundle” of (see [BMP2]) can be defined using limits of distributions supported on points
Citation
Edward Bierstone. Pierre D. Milman. "-norms on finite sets and extension criteria." Duke Math. J. 137 (1) 1 - 18, 15 March 2007. https://doi.org/10.1215/S0012-7094-07-13711-6
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