Integral Operators with Periodic Kernels in Spaces of Integrable Functions
Oleg Gennadievich Avsyankin · Russian Mathematics · 2020
We consider integral operators with periodic kernels acting from L p ( ℝ n ) to L q ( ℝ n ). We obtain sufficient conditions for boundedness of that operators. Moreover we obtain compactness conditions for the product of the integral operator with periodic kernel and the operator of multiplication by an essentially bounded function.