Invariant distances and metrics in complex analysis

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The bergman metric and the pluricomplex green function (2005, background): “By the Lempert theorem (see [19]) gΩ,w(ζ) is symmetric in w and ζ and thus we way assume that ρ > r.”
PROPERTIES OF SQUEEZING FUNCTIONS AND GLOBAL TRANSFORMATIONS OF BOUNDED DOMAINS (2013, background): “[13] for an introduction) are nondegenerate; namely, they give norms on the tangent spaces at all points of D.”
Toeplitz operators and Carleson measures in strongly pseudoconvex domains (2012, background): “, [1, 2, 20, 23] for definitions, basic properties and applications to geometric function theory of the Kobayashi distance; and [19, 18, 24, 36] for definitions and basic properties of the Bergman kernel.”
Some properties of squeezing functions on bounded domains (2011, background): “[8]), hence a holomorphic homogeneous regular domain must be a pseudoconvex domain.”
Nevanlinna–Pick Problem and Uniqueness of Left Inverses in Convex Domains, Symmetrized Bidisc and Tetrablock (2013, methodology): “For basic properties of the Lempert function and the Carathéodory distance and notions related to them we refer the Reader to [Jar-Pfl 1993].”
Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains (2000, background): “Chapter X of [ JP ]); the estimate that comes closest to our result is Proposition 2.5 in [FR].”