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Abstract We study the relationship between the concept of a continuous ellipsoid Θ cover of R n , which was introduced by Dahmen, Dekel, and Petrushev [7] , [8] ,… Click to show full abstract
Abstract We study the relationship between the concept of a continuous ellipsoid Θ cover of R n , which was introduced by Dahmen, Dekel, and Petrushev [7] , [8] , [11] , and the space of homogeneous type induced by Θ. We characterize the class of quasi-distances on R n (up to equivalence) which correspond to continuous ellipsoid covers. This places firmly continuous ellipsoid covers as a subclass of spaces of homogeneous type on R n satisfying quasi-convexity and 1-Ahlfors-regularity.
Keywords:
type induced;
continuous ellipsoid;
homogeneous type;
spaces homogeneous;
ellipsoid covers
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
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recommendations!