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Stability of integral operators on a space of homogeneous type

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In this paper, we consider integral operators T on compact spaces of homogeneous type with finite diameter, whose kernels have certain Holder regularity and mild singularity near the diagonal. We… Click to show full abstract

In this paper, we consider integral operators T on compact spaces of homogeneous type with finite diameter, whose kernels have certain Holder regularity and mild singularity near the diagonal. We show that given any , the -stability of the operator is equivalent for different , where I stands for the identity operator.

Keywords: stability integral; integral operators; homogeneous type; operators space; space homogeneous

Journal Title: Mathematische Nachrichten
Year Published: 2017

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