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Bulletin of the American Mathematical Society

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A radial averaging transformation, capacity and conformal radius


Author: Moshe Marcus
Journal: Bull. Amer. Math. Soc. 78 (1972), 456-460
MSC (1970): Primary 30A44, 30A36; Secondary 31A15, 30A32
DOI: https://doi.org/10.1090/S0002-9904-1972-12943-4
MathSciNet review: 0291429
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  • 1. D. Aharonov and W. E. Kirwan, A method of symmetrization and applications, Technical Report #70-179, University of Maryland, College Park, Md.; Trans. Amer. Math. Soc. 163 (1972), 369-377. MR 291423
  • 2. C. Bandle and M. Marcus, Radial averaging transformations with various metrics, Technical Report #71-32, Carnegie-Mellon University, Pittsburg, Pa.
  • 3. W. K. Hayman, Multivalent functions, Cambridge Tracts in Math. and Math. Phys., no. 48, Cambridge Univ. Press, New York, 1958. MR 21 #7302. MR 108586
  • 4. M. Marcus, Transformations of domains in the plane and applications in the theory of functions, Pacific J. Math. 14 (1964), 613-626. MR 29 #2382. MR 165093
  • 5. G. Pólya and G. Szegö, Isoperimetric inequalities in mathematical physics, Ann. of Math. Studies, no. 27, Princeton Univ. Press, Princeton, N.J., 1951. MR 13, 270. MR 43486
  • 6. G. Szegö, On a certain kind of symmetrization and its applications, Ann. Mat. Pura Appl. (4) 40 (1955), 113-119. MR 17, 1074. MR 77664

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DOI: https://doi.org/10.1090/S0002-9904-1972-12943-4

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