Signed quasiregular curves
Complex Variables
2021-01-26 v1 Differential Geometry
Symplectic Geometry
Abstract
We define a subclass of quasiregular curves, called signed quasiregular curves, which contains holomorphic curves and quasiregular mappings. As our main result, we prove a growth theorem of Bonk-Heinonen type for signed quasiregular curves. To obtain our main result, we prove that signed quasiregular curves satisfy a weak reverse H\"older inequality and that this weak reverse H\"older inequality implies the main result. We also obtain higher integrability for signed quasiregular curves. Further, we prove a cohomological value distribution result for signed quasiregular curves by using our main result and equidistribution.
Keywords
Cite
@article{arxiv.2101.09943,
title = {Signed quasiregular curves},
author = {Susanna Heikkilä},
journal= {arXiv preprint arXiv:2101.09943},
year = {2021}
}