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math.FA2024
Measure concentration for vector valued functions on Hamming cube
Alexander Borichev, Alexander Volberg
We prove here the concentration of measure inequality for Lipschitz function on the Hamming cube with values in any Banach spaces of finite cotype.
math.CV2024
On the Fourier coefficients of powers of a finite Blaschke product
Alexander Borichev, Karine Fouchet, Rachid Zarouf
Given a finite Blaschke product we prove asymptotically sharp estimates on the -norm of the sequence of the Fourier coefficients of as tends to $\inf…