Acknowledgement
Supported by : Hongik University
References
- P. Caraman, n-Dimensional Quasiconformal Mappings J. Editura Academic Bucuresti, Romania, 1974.
- E. Villamor, Geometric proofs of some classical results on boundary values for analytic functions, J. Canadian Mathematical Bulletin. 37 (1994), 263-269. https://doi.org/10.4153/CMB-1994-038-x
- F. W. Gehring, Quasiconformal mappings, J. Complex analysis and its applications. 11 (1976), 213-268.
- G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Univ. Press, Cambridge, 1988.
- O. Martio, S. Rickman, and J. Vaisala, Definitions for quasiregular mappings, J. Ann. Acad. Sci. Fenn. Ser. 448 (1969), 1-40.
- R. Nakki, Extension of Loewner's capacity theorem, J. Trans. Amer. Math. Soc. 180 (1973), 229-236.
- M. D. O'neill and R. E. Thurman, Extremal problems for Robin capacity, J. Complex Variables Theory and Applications 41 (2000).
- Y. Shen, Extremal problems for quasiconformal mappings, J. Mathematical Analysis and Applications. 247 (2000), 27-44. https://doi.org/10.1006/jmaa.2000.6806
- J. Vaisala, Lectures on n-Dimensional Quasiconformal Mappings, J. Springer-Verlag, New York, 1971.
- B. H. Chung, Some applications of extremal length to conformal imbeddings, J. Chungcheong. Math. Soc. 22 (2009), 211-216.
- B. H. Chung, Extremal length and geometric inequalities, J. Chungcheong Math. Soc. 20 (2007), 147-156.