Hausdorff operators on Lebesgue spaces with positive definite perturbation matrices are non-Riesz

Abstract

We consider generalized Hausdorff operators with positive definite and permutable perturbation matrices on Lebesgue spaces and prove that such operators are not Riesz operators provided they are non-zero.

References in corpus (1)

• Boundedness of Hausdorff operators on Hardy spaces $H^1$ over locally compact groups