We consider symmetric processes of pure jump type. We prove local estimates on the probability of exiting balls, the Hölder continuity of harmonic functions and of heat kernels, and convergence of a sequence of such processes.
@article{1267454108,
author = {Bass, Richard F. and Kassmann, Moritz and Kumagai, Takashi},
title = {Symmetric jump processes: Localization, heat kernels and convergence},
journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
volume = {46},
number = {1},
year = {2010},
pages = { 59-71},
language = {en},
url = {http://dml.mathdoc.fr/item/1267454108}
}
Bass, Richard F.; Kassmann, Moritz; Kumagai, Takashi. Symmetric jump processes: Localization, heat kernels and convergence. Ann. Inst. H. Poincaré Probab. Statist., Tome 46 (2010) no. 1, pp. 59-71. http://gdmltest.u-ga.fr/item/1267454108/