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Research paper thumbnail of A note to "Radial limits of quasiregular Local Homeomorphisms

arXiv (Cornell University), Mar 1, 2023

In this short note, we consider quasiregular local homeomorphisms on uniform domains. We prove th... more In this short note, we consider quasiregular local homeomorphisms on uniform domains. We prove that such mappings always can be extended to some boundary points along John curves, which extends the corresponding result of Rajala [Amer. J. Math. 2008].

Research paper thumbnail of Boundary Extensions for mappings between metric spaces

arXiv (Cornell University), Aug 4, 2023

In this paper, we consider boundary extensions of two classes of mappings between metric measure ... more In this paper, we consider boundary extensions of two classes of mappings between metric measure spaces. These two mapping classes extend in particular the well-studied geometric mappings such as quasiregular mappings with integrable Jacobian determinant and mappings of exponentially integrable distortion with integrable Jacobian determinant. Our main results extend the corresponding results ofÄkkinen and Guo [Ann. Mat. Pure. Appl. 2017] to the setting of metric measure spaces.

Research paper thumbnail of A note to "Radial limits of quasiregular Local Homeomorphisms

arXiv (Cornell University), Mar 1, 2023

In this short note, we consider quasiregular local homeomorphisms on uniform domains. We prove th... more In this short note, we consider quasiregular local homeomorphisms on uniform domains. We prove that such mappings always can be extended to some boundary points along John curves, which extends the corresponding result of Rajala [Amer. J. Math. 2008].

Research paper thumbnail of Boundary Extensions for mappings between metric spaces

arXiv (Cornell University), Aug 4, 2023

In this paper, we consider boundary extensions of two classes of mappings between metric measure ... more In this paper, we consider boundary extensions of two classes of mappings between metric measure spaces. These two mapping classes extend in particular the well-studied geometric mappings such as quasiregular mappings with integrable Jacobian determinant and mappings of exponentially integrable distortion with integrable Jacobian determinant. Our main results extend the corresponding results ofÄkkinen and Guo [Ann. Mat. Pure. Appl. 2017] to the setting of metric measure spaces.

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