Minimal Fine Limits for a Class of Potentials

Potential Analysis

Volumn 13, Issue 2, 2000, Pages 103-114

  Gowrisankaran, Kohur ^a   Singman, David ^b  

^a MCGILL UNIVERSITY   (Canada)

^b GEORGE MASON UNIVERSITY   (United States)

Author keywords

Capacity; Hausdorff measure; Littlewood theorem; Minimal fine limits; Potential; Weinstein equation

Indexed keywords

EID: 0034393671     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008697632471     Document Type: Article

References (14)

1. Brelot, M.: Lectures on Potential Theory, Tata Institute no. 19, Bombay, 1960, re-issued 1967.
2. n', Bull. Acad. Royale de Belg. 58 (1972), 317-326.
3. Carleson, L.: On a Class of Meromorphic Functions and its Associated Exceptional Sets, thesis, Uppsala, 1950.
4. Choquet, G.: 'Theory of capacities', Ann. Inst. Fourier 5 (1955), 131-295.
5. Doob, J. L.: 'A non-probabilistic proof of the relative Fatou theorem', Ann. Inst. Fourier 9 (1959), 293-300.
6. Doob, J. L.: Classical Potential Theory and its Probabilistic Counterpart, Springer-Verlag, 1984.
7. Essén, M. and Jackson, H. L.: 'On the covering properties of certain exceptional sets in a half-space', Hiroshima Math. J. 10 (1980), 233-262.
8. GowriSankaran, K.: 'Extreme harmonic functions and boundary value problems', Ann. Inst. Fourier 13 (1963), 307-356.
9. GowriSankaran, K. and Singman, D.: 'A generalized Littlewood theorem for Weinstein potentials on a halfspace', Illinois J. of Math. 41 (1997), 630-647.
10. n, Lecture Notes in Math. 481, Springer-Verlag.
11. Hayman, W. K. and Kennedy, P. B.: Subharmonic Functions, Volume 1, Academic Press, 1976.
12. Helms, L. L.: Introduction to Potential Theory, Wiley-Interscience, 1969.
13. Hervé, R.-M.: 'Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel', Ann. Inst. Fourier 12 (1962), 415-571.
14. Howroyd, J.D.: 'On dimension and on the existence of sets of finite positive Hausdorff measure', Proc. London Math. Soc. (3) 70 (1995), 581-604.