2018•arXiv (Cornell University)Open access

On a class of singular measures satisfying a strong annular decay condition

Ángel Arroyo, José G. Llorente

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Abstract

A metric measure space $(X,d,μ)$ is said to satisfy the strong annular decay condition if there is a constant $C>0$ such that $$ μ\big(B(x,R)\setminus B(x,r)\big)\leq C\, \frac{R-r}{R}\, μ(B(x,R)) $$ for each $x\in X$ and all $0

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A metric measure space $(X,d,μ)$ is said to satisfy the strong annular decay condition if there is a constant $C>0$ such that $$ μ\big(B(x,R)\setminus B(x,r)\big)\leq C\, \frac{R-r}{R}\, μ(B(x,R)) $$ for each $x\in X$ and all $0

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Available abstract

A metric measure space $(X,d,μ)$ is said to satisfy the strong annular decay condition if there is a constant $C>0$ such that $$ μ\big(B(x,R)\setminus B(x,r)\big)\leq C\, \frac{R-r}{R}\, μ(B(x,R)) $$ for each $x\in X$ and all $0

Key concepts: Combinatorics, Physics, Space (punctuation), Mathematics, Norm (philosophy), Measure (data warehouse), Class (philosophy), Law

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