1998-11-03Buch DOI: 10.18452/2688
On Convolution Operators in the Spaces of Almost Periodic Functions and Lp Spaces
We consider operators of convolution generated by $L^1$ functions in $L^p$ and various spaces of almost periodic functions. It turns out to be that if such an operator is invertible in one of these spaces, then it is invertible in all the spaces we consider. Further, we prove that any convolution has identical norms in many natural couples of functional spaces.
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