Local behavior of mappings defined by their distributional derivatives

A. Golberg; R. Salimov

Local behavior of mappings defined by their distributional derivatives

Authors

A. Golberg
R. Salimov

Abstract

We study asymptotic behavior of spatial mappings at the origin. These mappings belong to the Orlic-Sobolev class and are defined by their Jacobi
matrices. The theorem provides a result of a Schwarz Lemma type. The sharpness of conditions is illustrated by an example.

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Published

2015-04-23

How to Cite

Golberg, A., & Salimov, R. (2015). Local behavior of mappings defined by their distributional derivatives. Transactions of Institute of Mathematics, the NAS of Ukraine, 12(3), 110–120. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/171