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 Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

A criterion for the absolute continuity of the harmonic measure associated with an elliptic operator

Author(s): R. Fefferman
Journal: J. Amer. Math. Soc. 2 (1989), 127-135.
MSC: Primary 35J15
MathSciNet review: 955604
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L. Caffarelli, E. Fabes, and C. Kenig, Completely singular elliptic harmonic measures, Indiana Univ. Math. J. 30 (1981), 917-924. MR 632860 (83a:35033)

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E. Fabes, D. Jerison, and C. Kenig, Necessary and sufficient conditions for absolute continuity of elliptic-harmonic measure, Ann. of Math. 119 (1984), 121-141. MR 736563 (85h:35069)

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B. Dahlberg, On the absolute continuity of elliptic measures, Amer. J. Math. 108 (5) (1986), 1119-1138. MR 859772 (88i:35061)

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R. Coifman and C. Fefferman, Weighted norm inequalities for maximal functions and singular integrals, Studia Math. 51 (1974), 241-250. MR 0358205 (50:10670)

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L. Caffarelli, E. Fabes, S. Mortella, and S. Salsa, Boundary behavior of non-negative solutions of elliptic operators in divergence form, Indiana Univ. Math. J. 30 (1981), 621-640. MR 620271 (83c:35040)

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B. Dahlberg, D. Jerison, and C. Kenig, Area integral estimates for elliptic differential operators with non-smooth coefficients, Arkiv fur Matematik 22 (1984), 97-108. MR 735881 (85h:35021)

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Additional Information:

DOI: 10.1090/S0894-0347-1989-0955604-8
PII: S0894-0347-1989-0955604-8
Copyright of article: Copyright 1989, American Mathematical Society




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