Masatoshi Fukushima: Selecta

Preface......Page 6
Curriculum vitae......Page 8
Contents......Page 10
Professor Masatoshi Fukushima – Scholar and Mentor......Page 12
A construction of reflecting barrier Brownian motions for bounded domains......Page 14
On boundary conditions for multi-dimensional Brownian motions with symmetric resolvent densities......Page 47
Regular representations of Dirichlet spaces......Page 83
Dirichlet spaces and strong Markov processes......Page 102
On the generation of Markov processes by symmetric forms......Page 142
Almost polar sets and ergodic theorem......Page 176
On an LP-estimate of resolvents of Markov processes......Page 192
Dirichlet spaces and additive functionals of finite energy......Page 200
A note on irreducibility and ergodicity of symmetric Markov processes......Page 207
Capacitary maximal inequalities and an ergodic theorem......Page 215
Basic properties of Brownian motion and capacity on the Wiener space......Page 222
A transformation of a symmetric Markov process and the Donsker-Varadhan theory......Page 237
(r,p)-capacities for general Markov semigroups......Page 253
On the continuity of plurisubharmonic functions along conformal diffusions......Page 260
On Dirichlet forms for plurisubharmonic functions......Page 267
On quasi-supports of smooth measures and closability of pre-Dirichlet forms......Page 310
Dirichlet forms, diffusion processes and spectral dimensions for nested fractals......Page 319
On a spectral analysis for the Sierpinski gasket......Page 330
On a strict decomposition of additive functionals for symmetric diffusion processed......Page 365
On a decomposition of additive functionals in the strict sense for a symmetric Markov process......Page 370
Construction and decomposition of reflecting diffusions on Lipschitz domains with Hölder cusps......Page 385
On semi-martingale characterizations of functions of symmetric Markov processes......Page 422
On regular Dirichlet subspaces of H1(I) and associated linear diffusions......Page 454
Entrance law, exit system and Lévy system of time changed processes......Page 469
Extending Markov processes in weak duality by Poisson point processes of excursions......Page 508
Acknowledgments......Page 552
Bibliography......Page 554