In this note we consider a certain class of convolution operators acting on the Lp spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.
Bibliographical noteFunding Information:
Research of the First named author partially supported by NCN Grant no. 2011/01/N/ST1/ 01839. Research of the second named author partially supported by NCN Grant no. 2011/01/N/ST1/05960.
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