An inequality with applications in potential theory
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- by Boris Korenblum and Edward Thomas
- Trans. Amer. Math. Soc. 279 (1983), 525-536
- DOI: https://doi.org/10.1090/S0002-9947-1983-0709566-X
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Abstract:
An analytic inequality (announced previously) is proved and a certain monotonicity condition is shown to be essential for its validity, contrary to an earlier conjecture. Then, a generalization of the inequality, which takes into account the extent of nonmonotonicity, is established.References
- Boris Korenblum, An extension of the Nevanlinna theory, Acta Math. 135 (1975), no. 3-4, 187–219. MR 425124, DOI 10.1007/BF02392019 —, Description of Riesz measures for some classes of subharmonic functions (preliminary report), Abstracts Amer. Math. Soc. 2 (1981), 433.
- Boris Korenblum, Some problems in potential theory and the notion of harmonic entropy, Bull. Amer. Math. Soc. (N.S.) 8 (1983), no. 3, 459–462. MR 693962, DOI 10.1090/S0273-0979-1983-15120-0 A. Hinkkanen and R. C. Vaughan, An analytic inequality, manuscript communicated by W. K. Hayman.
Bibliographic Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 279 (1983), 525-536
- MSC: Primary 26D15; Secondary 31A05
- DOI: https://doi.org/10.1090/S0002-9947-1983-0709566-X
- MathSciNet review: 709566