2010年9月
Decompositions of Besov-Hausdorff and Triebel-Lizorkin-Hausdorff spaces and their applications
Journal of Mathematical Analysis and Applications
- ,
- ,
- 巻
- 369
- 号
- 2
- 開始ページ
- 736
- 終了ページ
- 757
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.jmaa.2010.04.021
- 出版者・発行元
- ACADEMIC PRESS INC ELSEVIER SCIENCE
Let p∈(1,∞), q∈[1,∞), s∈R and τ∈[0,1- 1/max{p,q}]. In this paper, the authors establish the φ-transform characterizations of Besov-Hausdorff spaces BḢp,qs,τ(Rn) and Triebel-Lizorkin-Hausdorff spaces FḢp,qs,τ(Rn) (q>1); as applications, the authors then establish their embedding properties (which on BH p,qs,τ(Rn) is also sharp), smooth atomic and molecular decomposition characterizations for suitable τ. Moreover, using their atomic and molecular decomposition characterizations, the authors investigate the trace properties and the boundedness of pseudo-differential operators with homogeneous symbols in BḢp,qs,τ(Rn) and FḢp,qs,τ(Rn) (q>1), which generalize the corresponding classical results on homogeneous Besov and Triebel-Lizorkin spaces when p∈(1,∞) and q∈[1,∞) by taking τ=0. © 2010 Elsevier Inc.
- リンク情報
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- DOI
- https://doi.org/10.1016/j.jmaa.2010.04.021
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000278242800028&DestApp=WOS_CPL
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77953027387&origin=inward 本文へのリンクあり
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=77953027387&origin=inward
- ID情報
-
- DOI : 10.1016/j.jmaa.2010.04.021
- ISSN : 0022-247X
- eISSN : 1096-0813
- SCOPUS ID : 77953027387
- Web of Science ID : WOS:000278242800028