Inequality of O'Neil-type for convolutions associated with the Laplace-Bessel differential operator and applications
Inequality of O'Neil-type for convolutions associated with the Laplace-Bessel differential operator and applications
In this paper we prove an O'Neil-type inequality for the convolution operator ( Bconvolution) associated with the Laplace-Bessel differential operator.By using an O'Neiltype inequality for rearrangements we obtain a pointwise rearrangement estimate of the Bconvolution.As an application, we obtain necessary and sufficient conditions on the parameters for the boundedness of …