[1] Avkhadiev F G, Wirths K J. Schwarz-Pick inequalities for derivatives of arbitrary order. Constr Approx, 2003, 19: 265-277 [2] Anderson J M, Rovnyak J. On generalized Schwarz-Pick estimates. Mathematika, 2006, 53: 161-168 [3] Chen S L, Hamada H. Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions. J Funct Anal, 2022, 282: 109254 [4] Chen Z H, Liu Y. Schwarz-Pick estimates for bounded holomorphic functions in the unit ball of $\mathbb{C}^n$. Acta Math Sin, 2010, 26: 901-908 [5] Liu Y, Chen Z H. Schwarz-Pick estimates for holomorphic Self-mappings on classical domains. Chin Ann Math, 2012, 33B: 601-608 [6] Dai S Y, Chen H H. Schwarz-Pick estimates for parial derivatives of arbitary order of bounded holomorphic functions in the unit ball of $\mathbb{C}^n$. Acta Math Sci, 2011, 31B: 1624-1632 [7] Dai S Y, Chen H H, Pan Y F. The Schwarz-Pick lemma of high order in several complex variables. Michigan Math, 2010, 59: 517-533 [8] Dai S Y, Chen H H, Pan Y F. The high order Schwarz-Pick lemma on complex Hilbert ball. Sci China Math, 2010, 53: 2649-2656 [9] Dai S Y, Pan Y F. Note on Schwarz-Pick estimates for bounded and positive real part analytic functions. Proc Amer Math Soc, 2008, 136: 635-640 [10] Franzoni T, Vesentini E.Holomorphic Maps and Invariant Distances. Amsterdam: North-Holland, 1980 [11] Goluzin G M. Some estimations of derivatives of bounded functions. Rec Math Mat Sbornik NS, 1945, 16: 295-306 [12] Gong S.Convex and Starlike Mappings in Several Complex Variables (in Chinese). Beijing: Science Press, 2003 [13] Graham I, Kohr G.Geometric Function Theory in One and Higher Dimensions. New York: Marcel Dekker, 2003 [14] Liu X S, Liu T S, Zhang W J.The refined Bohr's theorem for holomorphic mappings in several complex variables (in Chinese). Sci Sin Math, 2021, 51: 591-604 [15] Maccluer B, Stroethoff K, Zhao R. Generalized Schwarz-Pick estimates. Proc Amer Math Soc, 2002, 131: 593-599 [16] Ruscheweyh S. Two remarks on bounded analytic functions. Serdica, 1985, 11: 200-202 [17] Kaptanoglu H T. Some refined Schwarz-Pick lemmas. Michigan Math J, 2002, 50: 649-664 [18] Wang J F, Liu Y.The generalized Schwarz-Pick estimates of arbitrary order on the unit polydisk. Complex Anal Oper Theory, 2013, 7: 519-528 [19] Xu Z F. A Schwarz-Pick lemma for the norms of holomorphic mappings in Banach spaces. Complex Var Ellptic Equ, 2018, 63: 1459-1467 |