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Proposition 3.1.. The following proof is similar to that of Lemma 10.1 of [9], extended to the general Gaussian martingales. This is an extension of the simple case given in
Some properties of the dimension function dim on the class of separable metric spaces are studied by means of geometric construction which can be realized in Euclidean spaces...
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Lomtatidze , On positive solutions of boundary value problems for second order ordinary differential equations with singularities.. Malaguti , On a nonlocal boundary value problem
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The proof goes along the lines of [15] and [5]; it involves the fundamental Reich–Strebel inequality for polygonal maps and the Grunsky coefficient in- equality for
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