Removable singularities for Bloch and normal functions
Czechoslovak Mathematical Journal, Tome 43 (1993) no. 4, pp. 723-741
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DOI : 10.21136/CMJ.1993.128430
Classification : 32A20, 32D15, 32D20, 32F45
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Riihentaus, Juhani. Removable singularities for Bloch and normal functions. Czechoslovak Mathematical Journal, Tome 43 (1993) no. 4, pp. 723-741. doi: 10.21136/CMJ.1993.128430

[1] S. Bochner: Weak solutions of linear partial differential equations. J. Math. Pures Appl. 35 (1956), 193–202. | MR | Zbl

[2] L.A. Campbell and R.H. Ogawa: On preserving the Kobayashi pseudodistance. Nagoya Math. J. 57 (1975), 37–47. | DOI | MR

[3] L.A. Campbell, A. Howard and T. Ochiai: Moving holomorphic disks off analytic subsets. Proc. Amer. Math. Soc. 60 (1976), 106–108. | DOI | MR

[4] J.A. Cima and I.R. Graham: Removable singularities for Bloch and BMO functions. Ill. J. Math. 27 (1983), 691–703. | DOI | MR

[5] J.A. Cima and S.G. Krantz: The Lindelöf principle and normal functions of several complex variables. Duke Math. J. 50 (1983), 303–328. | MR

[6] H. Federer: Geometric measure theory. Springer, Berlin, 1969. | MR | Zbl

[7] J.B. Garnett: Bounded analytic functions. Academic Press, New York, 1981. | MR | Zbl

[8] I.R. Graham: Removable singularities for holomorphic functions which satisfy the area-BMO condition. Several Complex Variables, Proc. Hangzhou Conf. 1981, J.J. Kohn, Q.-k. Lu, R. Remmert and Y.T. Siu (eds.), Birkhäuser Boston, Inc., Boston, Mass., 1984, pp. 175–180. | MR

[9] R. Harvey and J.C. Polking: Removable singularities of solutions of linear partial differential equations. Acta Math. 125 (1970), 39–56. | DOI | MR

[10] L.I. Hedberg: Removable singularities and condenser capacities. Ark. Mat. 12 (1974), 181–201. | DOI | MR | Zbl

[11] J. Hyvönen and J. Riihentaus: Removable singularities for holomorphic functions with locally finite Riesz mass. J. London Math. Soc. (2) 35 (1987), 296–302. | DOI | MR

[12] P. Järvi: An extension theorem for normal functions. Proc. Amer. Math. Soc. 103 (1988), 1171–1174. | DOI | MR

[13] R. Kaufman: Hausdorff measure, BMO, and analytic functions. Pac. J. Math. 102 (1982), 369–371. | DOI | MR | Zbl

[14] S.G. Krantz: Function theory of several complex variables. John Wiley, New York, 1982. | MR | Zbl

[15] S.G. Krantz and D. Ma: Bloch functions on strongly pseudoconvex domains. Ind. Univ. Math. J. 37 (1988), 145–163. | DOI | MR

[16] O. Lehto and K.I. Virtanen: Boundary behaviour and normal meromorphic functions. Acta Math. 97 (1957), 47–65. | DOI | MR

[17] O. Lehto and K.I. Virtanen: On the behaviour of meromorphic functions in the neighborhood of an isolated singularity. Ann. Acad. Sci. Fenn. A I Math. 240 (1957), 1–9. | MR

[18] G.J. Martin: Quasiconformal and bi-lipschitz homeomorphisms, uniform domains and the quasihyperbolic metric. Trans. Amer. Math. Soc. 292 (1985), 169–191. | DOI | MR | Zbl

[19] D. Minda: Bloch and normal functions on general planar regions. Holomorphic functions and moduli, Vol. I, Proc. Workshop Berkeley, CA, 1986, Math. Sci. Res. Inst. Publ. 10, D. Drasin, C.J. Earle, F.W. Gehring, I. Kra and A. Marden (eds.), Springer, New York, 1988, pp. 101–110. | MR | Zbl

[20] E.A. Poletski${\breve{\text{i}}}$ and B.V. Shabat: Invariant metrics. Encyclopaedia of Mathematical Sciences, Vol. 9, Several complex variables III, G.M. Khenkin (ed.), Springer, Berlin, 1989, pp. 63–111.

[21] J.C. Polking: A survey of removable singularities. Seminar on Nonlinear Partial Differential Equations, Berkeley, CA, 1983, Math. Sci. Res. Inst. Publ. 2, S.S. Chern (ed.), Springer, New York, 1984, pp. 261–292. | MR | Zbl

[22] J. Riihentaus: An extension theorem for meromorphic functions of several variables. Ann. Acad. Sci. Fenn. A I Math. 4 (1978/1979), 145–149. | DOI | MR

[23] J. Riihentaus: A nullset for normal functions in several variables. Proc. Amer. Math. Soc. 110 (1990), 923–933. | DOI | MR | Zbl

[24] B. Shiffman: On the removal of singularities of analytic sets. Michigan Math. J. 15 (1968), 111–120. | DOI | MR | Zbl

[25] R.M. Timoney: Bloch functions in several complex variables I. Bull. London Math. Soc. 12 (1980), 241–267. | DOI | MR | Zbl

[26] M. Vuorinen: Conformal geometry and quasiregular mappings. Springer, LNM 1319, Berlin, 1988. | MR | Zbl

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