Integral transformations of the Kontorovich-Lebedev type
A survey talk about recently published results in the Lp-theory of integral operators associated with special functions of the hypergeometric type as kernels is presented. The theory of the Mellin and the Kontorovich-Lebedev transformations is applied in order to prove related results for other integral operators of this type. The integration process in reciprocal transformations is realized with respect to the index (parameter) and an argument of the kernel function. Different examples are demonstrated.
Semyon Yakubovich, Universidade do Porto, Portugal
July 06, 2001