Show that we even get ' (=) ' in the estimate denoted by (ii) in Lemma 18.9.

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Show that we even get ' $=$ ' in the estimate denoted by (ii) in Lemma 18.9.

Data from lemma 18.9

Lemma 18.9 Let (X, d) be a metric space, the open sets, the closed sets and P= P(X) the power set. If He is

Consider the open [] sets U:= {xe X: d(x, Fi)

(ii) For any d-cover (Si)iEN CP the closures (S)en form a closed d-cover since the closure does not increase

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Measures Integrals And Martingales

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2nd Edition

Authors: René L. Schilling

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Show that we even get ' (=) ' in the estimate denoted by (ii) in Lemma 18.9.

Question:

Lemma 18.9 Let (X, d) be a metric space, the open sets, the closed sets and P = P(X) the power set. If He is the Hausdorff measure obtained by S-E-covers, then the following inequalities hold for all > 8: Ho (4)

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Measures Integrals And Martingales

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