Sharp Young's convolution inequality and its reverse on {0,1}^d are proved, with optimal diagonal exponent p_r = 2r/log_2(2+2^r).
Additive energies on discrete cubes
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Optimal Young's convolutions inequality and its reverse form on the hypercube
Sharp Young's convolution inequality and its reverse on {0,1}^d are proved, with optimal diagonal exponent p_r = 2r/log_2(2+2^r).