重川　一郎
   所属   京都産業大学  理学部
   職種   客員教授
言語種別 英語
発行・発表の年月 1994/11
形態種別 研究論文
査読 査読あり
標題 LOGARITHMIC SOBOLEV INEQUALITIES AND EXPONENTIAL INTEGRABILITY
執筆形態 その他
掲載誌名 JOURNAL OF FUNCTIONAL ANALYSIS
出版社・発行元 ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS
巻・号・頁 126(1),pp.83-101
著者・共著者 S AIDA,T MASUDA,SHIGEKAWA, I
概要 We prove the exponential integrability of Lipschitz functions in abstract Wiener spaces by using logarithmic Sobolev inequalities. We introduce two notions of Lipschitz continuity and apply the method of Davis and Simon [J. Funct. Anal. 59 (1984), 335-395] to prove our main theorem. Moreover we give several conditions under which the function is exponentially integrable. (C) 1994 Academic Press, Inc.
DOI 10.1006/jfan.1994.1142
ISSN 0022-1236
Put Code(ORCID) 42717423
PermalinkURL http://www.scopus.com/inward/record.url?eid=2-s2.0-0000920853&partnerID=MN8TOARS
researchmap用URL http://orcid.org/0000-0002-8865-8071