Maximal regularity for stochastic convolutions in spaces
Giuseppe Da Prato; Alessandra Lunardi
- Volume: 9, Issue: 1, page 25-29
- ISSN: 1120-6330
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topDa Prato, Giuseppe, and Lunardi, Alessandra. "Maximal regularity for stochastic convolutions in \( L^p \) spaces." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 9.1 (1998): 25-29. <http://eudml.org/doc/252286>.
@article{DaPrato1998,
abstract = {We prove an optimal \( L^p \) regularity result for stochastic convolutions in certain Banach spaces. It is stated in terms of real interpolation spaces.},
author = {Da Prato, Giuseppe, Lunardi, Alessandra},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Stochastic convolution; Analytic semigroups; Interpolation spaces; stochastic convolution; stochastic processes},
language = {eng},
month = {3},
number = {1},
pages = {25-29},
publisher = {Accademia Nazionale dei Lincei},
title = {Maximal regularity for stochastic convolutions in \( L^p \) spaces},
url = {http://eudml.org/doc/252286},
volume = {9},
year = {1998},
}
TY - JOUR
AU - Da Prato, Giuseppe
AU - Lunardi, Alessandra
TI - Maximal regularity for stochastic convolutions in \( L^p \) spaces
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1998/3//
PB - Accademia Nazionale dei Lincei
VL - 9
IS - 1
SP - 25
EP - 29
AB - We prove an optimal \( L^p \) regularity result for stochastic convolutions in certain Banach spaces. It is stated in terms of real interpolation spaces.
LA - eng
KW - Stochastic convolution; Analytic semigroups; Interpolation spaces; stochastic convolution; stochastic processes
UR - http://eudml.org/doc/252286
ER -
References
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- Pratelli, M., Intégration stochastique et géométrie des espaces de Banach. In: J. Azema - P. A. Meyer - M. Yor (eds.), Séminaire de Probabilités XXII. Lecture Notes in Mathematics, 1321, Springer-Verlag, Berlin-New York1988, 129-137. Zbl0654.60040MR960517DOI10.1007/BFb0084127
- Triebel, H., Interpolation theory, function spaces, differential operators. North-Holland, Amsterdam-New York1978. Zbl0387.46032MR503903
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