Mellin convolution equations in the Bessel potential spaces

摘要

In the present chapter, we expose investigations of Mellin convolution equations in the Bessel potential spaces published in the papers [37, 59]. Such equations are important while investigating boundary value problems (BVPs) for elliptic equations on surfaces and domains with Lipschitz boundary and will be applied in the next chapter to the investigations of BVPs for the Laplace–Beltrami and Lamé equations on surfaces.