Geodesic
Harnack inequalities, Kobayashi distances and holomorphic motions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 206-218

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We prove some generalizations and analogs of the Harnack inequalities for pluriharmonic, holomorphic and “almost holomorphic” functions. The results are applied to proving smoothness properties of holomorphic motions over almost complex manifolds. 
@article{TM_2012_279_a12,
     author = {E. M. Chirka},
     title = {Harnack inequalities, {Kobayashi} distances and holomorphic motions},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {206--218},
     publisher = {mathdoc},
     volume = {279},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2012_279_a12/}
}
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E. M. Chirka. Harnack inequalities, Kobayashi distances and holomorphic motions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 206-218. http://geodesic.mathdoc.fr/item/TM_2012_279_a12/