Stability of integral operators on a space of homogeneous type

초록

In this paper, we consider integral operators T on compact spaces of homogeneous type with finite diameter, whose kernels K-T have certain Holder regularity and mild singularity near the diagonal. We show that given any z not equal 0, the L-p-stability of the operator zI - T is equivalent for different 1 <= p <= infinity, where I stands for the identity operator. (C) 2016 WILEY-VCH Verlag GmbH &Co. KGaA, Weinheim

키워드