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Some Relations Between Packing Premeasure and Packing Measure |
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| Authors: | Feng De-Jun; Hua Su; Wen Zhi-Ying |
| Institution: | Department of Applied Mathematics and Center for Advanced Study, Tsinghua University Beijing, 100084, P. R. China Department of Applied Mathematics, Tsinghua University Beijing, 100084, P. R. China Department of Applied Mathematics, Tsinghua University Beijing, 100084, P. R. China and Department of Mathematics, Wuhan University Wuhan, 430072, P. R. China |
| Abstract: | Let K be a compact subset of Rn, 0  s n. Let  , Ps denote s-dimensional packing premeasure andmeasure, respectively. We discuss in this paper the relationbetween and Ps. We prove:if  , then  ; and if  , then for any  > 0, there exists a compact subset F of K such that and Ps(F)  Ps(K) – .1991 Mathematics Subject Classification 28A80, 28A78. |
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