TY - GEN
T1 - Symmetric Markov processes with tightness property
AU - Takeda, Masayoshi
N1 - Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.
PY - 2018
Y1 - 2018
N2 - A symmetric Markov process X is said to be in Class (T) if it is irreducible, strong Feller and possesses a tightness property. We give some properties of X in Class (T) and of the semi-group pt of X: the uniform large deviation principle of X, Lp -independence of growth bounds of pt, compactness of pt as an operator in L2, and boundedness of every eigenfunction of pt.
AB - A symmetric Markov process X is said to be in Class (T) if it is irreducible, strong Feller and possesses a tightness property. We give some properties of X in Class (T) and of the semi-group pt of X: the uniform large deviation principle of X, Lp -independence of growth bounds of pt, compactness of pt as an operator in L2, and boundedness of every eigenfunction of pt.
KW - Compactness of semigroup
KW - Dirichlet form
KW - Symmetric Markov process
UR - http://www.scopus.com/inward/record.url?scp=85049998554&partnerID=8YFLogxK
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U2 - 10.1007/978-3-319-74929-7_33
DO - 10.1007/978-3-319-74929-7_33
M3 - Conference contribution
AN - SCOPUS:85049998554
SN - 9783319749280
T3 - Springer Proceedings in Mathematics and Statistics
SP - 489
EP - 499
BT - Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016
A2 - Trutnau, Gerald
A2 - Eberle, Andreas
A2 - Hoh, Walter
A2 - Kassmann, Moritz
A2 - Grothaus, Martin
A2 - Stannat, Wilhelm
PB - Springer New York LLC
T2 - International conference on Stochastic Partial Differential Equations and Related Fields, SPDERF 2016
Y2 - 10 October 2016 through 14 October 2016
ER -