Functions of bounded mean oscillation and quasiconformal mappings on spaces of homogeneous type

14 Jan 2020 Nguyen Trang T. T. Ward Lesley A.

We establish a connection between the function space BMO and the theory of quasiconformal mappings on spaces of homogeneous type $\widetilde{X} :=(X,\rho,\mu)$. The connection is that the logarithm of the generalised Jacobian of an $\eta$-quasisymmetric mapping $f: \widetilde{X} \rightarrow \widetilde{X}$ is always in $\text{BMO}(\widetilde{X})$... (read more)

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  • CLASSICAL ANALYSIS AND ODES