On Hardy-Littlewood inequality for Brownian motion on Riemannian manifolds

Journal of the London Mathematical Society

Volumn 62, Issue 2, 2000, Pages 625-639

  Grigor'yan, Alexander ^a   Kelbert, Mark ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034288017     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S002461070000123X     Document Type: Article

References (8)

1. T. COULHON and A. GRIGOR'YAN, 'On-diagonal lower bounds for heat kernels on non-compact manifolds and Markov chains', Duke Math. J. 89 (1997) 133-199.
2. M. P. GAFFNEY, 'The conservation property of the heat equation on Riemannian manifolds', Comm. Pure Appl. Math. 12 (1959) 1-11.
3. A. GRIGOR'YAN, 'On stochastically complete manifolds', DAN SSSR 260 (1986) 534-537 (Russian); Soviet Math. Dokl. 34 (1987) 310-313 (English).
4. A. GRIGOR'YAN, 'On stochastically complete manifolds', DAN SSSR 260 (1986) 534-537 (Russian); Soviet Math. Dokl. 34 (1987) 310-313 (English).
5. A. GRIGOR'YAN, 'Escape rate of Brownian motion on weighted manifolds', Appl. Anal. 71 (1999) 63-89.
6. A. GRIGOR'YAN and M. KELBERT, 'Range of fluctuation of Brownian motion on a complete Riemannian manifold', Ann. Prob. 26 (1998) 78-111.
7. K. ITÔ and H. McKEAN, Diffusion processes and their sample paths (Springer, Berlin, 1965).
8. L. KARP and P. LI, 'The heat equation on complete Riemannian manifolds', unpublished.