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math.PR2013
Convex Poincaré inequality
P. Nayar, T. Tkocz
We characterize the symmetric measures which satisfy the one dimensional convex Poincaré inequality. For these measures the tenesorization argument yields concentration inequalitie…
math.PR2013
A note on certain convolution operators
Piotr Nayar, Tomasz Tkocz
In this note we consider a certain class of convolution operators acting on the L_p spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely…