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Some properties of packing measure with doubling gauge

100%

Wen S.-Y., Wen Z.-Y.

Studia Mathematica

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2004

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tom 165

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nr 2

125-134

EN

Let g be a doubling gauge. We consider the packing measure $𝓟^{g}$ and the packing premeasure $𝓟₀^{g}$ in a metric space X. We first show that if $𝓟₀^{g}(X)$ is finite, then as a function of X, $𝓟₀^{g}$ has a kind of "outer regularity". Then we prove that if X is complete separable, then $λsup𝓟₀^{g}(F) ≤ 𝓟^{g}(B) ≤ sup𝓟₀^{g}(F)$ for every Borel subset B of X, where the supremum is taken over all compact subsets of B having finite $𝓟₀^{g}$-premeasure, and λ is a positive number depending only on the doubling gauge g. As an application, we show that for every doubling gauge function, there is a compact metric space of finite positive packing measure.

2

Transcendence, automata theory and gamma functions for polynomial rings

100%

Wen Z.-Y., Yao J.-Y.

Acta Arithmetica

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2002

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tom 101

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nr 1

39-51

3

Hankel determinants for the Fibonacci word and Padé approximation

81%

Kamae T., Tamura J.-i., Wen Z.-Y.

Acta Arithmetica

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1999

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tom 89

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nr 2

123-161

Ograniczanie wyników

2 Acta Arithmetica

1 Studia Mathematica

3 Wen Z.-Y.

1 Kamae T.

1 Tamura J.-i.

1 Wen S.-Y.

1 Yao J.-Y.

1 2004

1 2002

1 1999

Some properties of packing measure with doubling gauge

Transcendence, automata theory and gamma functions for polynomial rings

Hankel determinants for the Fibonacci word and Padé approximation