EQUIVALENCE OF BMO-TYPE NORMS WITH APPLICATIONS TO THE HEAT AND STOKES SEMIGROUPS

BOLKART, MARTIN; GIGA, YOSHIKAZU; Suzuki, Takuya et al.

Hokkaido University Preprint Series in Mathematics, 2016, 1090, 1-28

Permalink : https://doi.org/10.14943/84234

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アクセス権	open access
DOI	https://doi.org/10.14943/84234
URI	https://hdl.handle.net/2115/69894
タイトル	EQUIVALENCE OF BMO-TYPE NORMS WITH APPLICATIONS TO THE HEAT AND STOKES SEMIGROUPS
著者	BOLKART, MARTIN ; GIGA, YOSHIKAZU ; Suzuki, Takuya ; TSUTSUI, YOHEI
著者名 BOLKART, MARTIN
著者名 GIGA, YOSHIKAZU
著者名 Suzuki, Takuya
著者名 TSUTSUI, YOHEI
言語	英語
発行日	2016-05-12
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1090
ページ	1-28
抄録	We introduce various spaces of functions of bounded mean oscillations (BMO) defined in a domain by taking into account the behavior of functions near the boundary. Then we establish several equivalences of these spaces. Moreover, we compare our space with a BMO space introduced by Miyachi. As an application we prove that the heat and the Stokes semigroup are analytic in such a type of spaces.
資源タイプ	紀要論文
出版タイプ	Version of Record