Kuran's regularity criterion and localization in excessive structures

Bulletin of the London Mathematical Society

Volumn 28, Issue 3, 1996, Pages 273-282

  Beznea, Lucian ^a   Boboc, Nicu ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030136486     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/blms/28.3.273     Document Type: Article

References (18)

1. L. BEZNEA, 'Potential type subordinations', Rev. Roumaine Math. Pures Appl. 36 (1991) 115-135.
2. L. BEZNEA and N. BOBOC, 'Excessive functions and excessive measures : Hunt's theorem on balayages, quasi-continuity', Classical and modern potential theory and applications, NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci. 430 (Kluwer, Dordrecht, 1994) 77-92.
3. L. BEZNEA and N. BOBOC, 'Quasi-boundedness and subtractivity ; applications to excessive measures', Potential Anal., to appear.
4. L. BEZNEA and N. BOBOC, 'On the integral representation for excessive measures', Rev. Roumaine Math. Pures Appl., to appear.
5. N. BOBOC and GH. BUCUR, Conuri convexe de funcţii continue pe spaţii compacte (Ed. Academiei, Bucureşti, 1976).
6. N. BOBOC and GH. BUCUR, 'Natural localization and natural sheaf property in standard H-cones of functions, I, II', Rev. Roumaine Math. Pures Appl. 30 (1985) 1-21, 193-213.
7. N. BOBOC and GH. BUCUR, 'Excessive and supermedian functions with respect to subordinated resolvents of kernels', Rev. Roumaine Math. Pures Appl. 39 (1994) 875-878.
8. N. BOBOC and GH. BUCUR, 'Pseudodilations in H-cones', Rev. Roumaine Math. Pures Appl. 37 (1992) 115-132.
9. D. FEYEL, 'Représentation des fonctionelles surmédianes', Z. Wahrscheinlichkeitstheory verw. Gebiete 58 (1981) 183-198.
10. D. FEYEL, 'Sur la théorie fine du potentiel', Bull. Soc. Math. France 111 (1983) 41-57.
11. P. J. FITZSIMMONS and R. K. GETOOR, 'Riesz decompositions and subtractivity for excessive measures', Potential Anal. 1 (1992) 37-60.
12. P. J. FITZSIMMONS and R. K. GETOOR, 'Some applications of quasi-boundedness for excessive measures', Séminaire de Probabilites XXVI, Lecture Notes in Math. 1526 (Springer, New York, 1992) 485-497.
13. R. K. GETOOR, Excessive measures (Birkhäuser, Boston, 1990).
14. U. KURAN, ' A new criterion of Dirichlet regularity via quasi-boundedness of the fundamental superharmonic functions', J. London Math. Soc. 19 (1979) 301-311.
15. T. J. LYONS, 'An application of fine potential theory to prove a Phragmen Lindelöf theorem', Ann. Inst. Fourier (Grenoble) 34 (1984) 63-66.
16. G. MOKOBODZKI, 'Ensembles compacts de fonctions fortement surmédianes', Séminaire de Theorie du Potentiel Paris, No. 4, Lecture Notes in Math. 713 (Springer, New York, 1979) 178-193.
17. G. MOKOBODZKI, 'Operateurs de subordination des resolvents', unpublished, 1983.
18. N. SUZUKI, 'A note on Dirichlet regularity on harmonie spaces', Hiroshima Math. J. 21 (1991) 335-341.