$A_ \infty$-condition for the Jacobian of a quasiconformal mapping
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- by Juha Heinonen and Pekka Koskela PDF
- Proc. Amer. Math. Soc. 120 (1994), 535-543 Request permission
Abstract:
We show that the Jacobian ${J_f}$ of a quasi-conformal mapping $f:{{\mathbf {B}}^n} \to D$ is an ${A_\infty }$-weight in ${{\mathbf {B}}^n}$ if and only if $D$ is a John domain. A similar question concerning ${J_{f - 1}}$ is also studied.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 535-543
- MSC: Primary 30C65
- DOI: https://doi.org/10.1090/S0002-9939-1994-1169029-X
- MathSciNet review: 1169029