Some prevalent results about strongly monoHölder functions
نویسندگان
چکیده
We study the typical behavior of strongly monoHölder functions from the prevalence point of view. To this end we first prove wavelet-based criteria for strongly monoHölder functions. We then use the notion of prevalence to show that the functions of Cα(R) are almost surely monoHölder with Hölder exponent α. Finally, we prove that for any α ∈ (0, 1) on a prevalent set of C(R) the Hausdorff dimension of the graph is equal to d+ 1− α.
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تاریخ انتشار 2010