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math.CA2026
Estimates for variants of Gowers norms
Vjekoslav Kovač, Keith M. Rogers
Motivated by a log-convexity question of Bennett and Tao, we consider Gowers-type functionals defined by norms of multiple autocorrelations. We prove sharp bounds in terms of…
math.CA2025
Inequalities in Fourier analysis on binary cubes
Tonći Crmarić, Vjekoslav Kovač, Shobu Shiraki
This paper studies two classical inequalities, namely the Hausdorff-Young inequality and equal-exponent Young's convolution inequality, for discrete functions supported in the bina…