Poincaré inequality for some measures in Hilbert spaces and application to spectral gap for transition semigroups

Giuseppe Da Prato

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1997)

  • Volume: 25, Issue: 3-4, page 419-431
  • ISSN: 0391-173X

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Da Prato, Giuseppe. "Poincaré inequality for some measures in Hilbert spaces and application to spectral gap for transition semigroups." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.3-4 (1997): 419-431. <http://eudml.org/doc/84298>.

@article{DaPrato1997,
author = {Da Prato, Giuseppe},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Poicaré inequality; spectral gap},
language = {eng},
number = {3-4},
pages = {419-431},
publisher = {Scuola normale superiore},
title = {Poincaré inequality for some measures in Hilbert spaces and application to spectral gap for transition semigroups},
url = {http://eudml.org/doc/84298},
volume = {25},
year = {1997},
}

TY - JOUR
AU - Da Prato, Giuseppe
TI - Poincaré inequality for some measures in Hilbert spaces and application to spectral gap for transition semigroups
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1997
PB - Scuola normale superiore
VL - 25
IS - 3-4
SP - 419
EP - 431
LA - eng
KW - Poicaré inequality; spectral gap
UR - http://eudml.org/doc/84298
ER -

References

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  1. [1] V.I. Bocachev - M. Röckner - B. Schmuland, Generalized Mehler semigroups and applications, Probability and Related Fields114 (1996), 193-225. Zbl0849.60066MR1392452
  2. [2] A. Choinowska-Michalik - B. Goldys, On Ornstein-Uhlenbeck Generators, preprint S96-12 of the School of Mathematics, The University of New South Wales, 1996. 
  3. [3] G. Da Prato, Null controllability and strong Feller property of Markov transition semigroups, Nonlinear Analysis TMA25 (1995), 9-10, 941-949. Zbl0838.60048MR1350717
  4. [4] G. Da Prato, Characterization of the domain of an elliptic operator of infinitely many variables in L2(μ) spaces, Rend. Acc. Naz. Lincei, to appear. Zbl0899.47035
  5. [5] G. Da Prato - J. Zabczyk, "Ergodicity for Infinite Dimensional Systems", LondonMathematical Society Lecture Notes, 1996. Zbl0849.60052MR1417491
  6. [6] M. Furman, Analyticity of transition semigroups and closability ofbilinear forms in Hilbert spaces, Studia Mathematica115 (1995), 53-71. Zbl0830.47033MR1347432
  7. [7] Z.M. Ma - M. Rockner, "Introduction to the Theory of (Non Symmetric) Dirichlet Forms", Springer-Verlag, 1992. Zbl0826.31001MR1214375
  8. [8] D.W. Stroock - B. Zegarlinski, The logaritmic Sobolev inequality for discrete spin systems on a lattice, Commun. Math. Phys.149 (1992), 175-193. Zbl0758.60070MR1182416
  9. [9] B. Zegarlinski, The strong exponential decay to equilibrium for the stochastic dynamics associated to the unbounded spin systems on a lattice, preprint. Zbl0844.46050

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