Lectures on Analysis on Metric Spaces

Heinonen, J. (2001). Lectures on Analysis on Metric Spaces. Springer.

Type

Book chapter

Intellectual base

Review or monograph

Year

2001

DOI

10.1007/978-1-4612-0627-8

Link

https://doi.org/10.1007/978-1-4612-0627-8

Cited by

3 citations across 3 artifacts.

Domain-specific

• Doubling space
  • A doubling metric space has a finite constant N such that each ball of radius r is covered by at most N balls of radius r/2.
• Quasisymmetric map
  • Equivalent formulations require hypotheses, so the metric spaces and control function are part of every claim.
• Uniformly disconnected space
  • Uniform disconnectedness is stronger than total disconnectedness, is invariant under suitable quasisymmetric or quasi-Möbius maps and depends on the relative-chain convention.

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