start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue= article-no= start-page=93 end-page=98 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=20010609 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=欧州留学から帰って en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=曽布川拓也 kn-aut-sei=曽布川 kn-aut-mei=拓也 aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=岡山大学教育学部 END start-ver=1.4 cd-journal=joma no-vol=67 cd-vols= no-issue=1 article-no= start-page=245 end-page=258 dt-received= dt-revised= dt-accepted= dt-pub-year=2003 dt-pub=20032 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Exponential integrability of stochastic convolutions en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Sucient conditions are found for stochastic convolution integrals driven by a Wiener process in a Hilbert space to belong to the Orlicz space expL2; standard exponential tail estimates follow from these results. Proofs are based on the extrapolation theory and are rather simple.

en-copyright= kn-copyright= en-aut-name=SeidlerJan en-aut-sei=Seidler en-aut-mei=Jan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SobukawaTakuya en-aut-sei=Sobukawa en-aut-mei=Takuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Academy of Sciences of the Czech Republic affil-num=2 en-affil= kn-affil=Okayama University END