Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity by Behrstock, J, Drutu, C, Mosher, L

“…Outside of group theory, Teichmuller spaces for surfaces of sufficiently large complexity are thick with respect to the Weil-Peterson metric, in contrast with Brock--Farb's hyperbolicity result in low complexity.…”

Norm Estimates of the Pre-Schwarzian Derivatives for Functions with Conic-like Domains by Sidra Zafar, Abbas Kareem Wanas, Mohamed Abdalla, Syed Zakar Hussain Bukhari

“…It has applications in the theory of hypergeometric functions, conformal mappings, Teichmüller spaces, and univalent functions. In this paper, we find sharp norm estimates of the pre-Schwarzian derivatives of certain subfamilies of analytic functions involving some conic-like image domains. …”
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