For 1 < p < infinity, the Lp-modulus, Fourier rate, and step rate parameterizations of the space of p-integrable functions are mutually linearly equivalent.
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Second-Order Parameterizations for the Complexity Theory of Integrable Functions
For 1 < p < infinity, the Lp-modulus, Fourier rate, and step rate parameterizations of the space of p-integrable functions are mutually linearly equivalent.