Stability of Localized Integral Operators on Normal Spaces of Homogeneous Type
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION(2019)
Abstract
The L-p-stability of linear operators is one of fundamental concepts in many research fields. In this article, we introduce a family of localized integral operators on a normal space of homogeneous type such that their kernels have some off-diagonal decay, mild singularity near the diagonal and certain Holder regularity, and we show that localized integral operators in the family have their L-p-stability to be equivalent for different exponents 1 <= p <= infinity.
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Key words
Localized integral operators,spaces of homogeneous type,stability,2010
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