2018年6月1日
The Hardy and Heisenberg inequalities in Morrey spaces
Bulletin of the Australian Mathematical Society
- ,
- ,
- ,
- 巻
- 97
- 号
- 3
- 開始ページ
- 480
- 終了ページ
- 491
- 記述言語
- 英語
- 掲載種別
- 研究論文（学術雑誌）
- DOI
- 10.1017/S0004972717001216
- 出版者・発行元
- Cambridge University Press
We use the Morrey norm estimate for the imaginary power of the Laplacian to prove an interpolation inequality for the fractional power of the Laplacian on Morrey spaces. We then prove a Hardy-type inequality and use it together with the interpolation inequality to obtain a Heisenberg-type inequality in Morrey spaces.
- リンク情報
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- DOI
- https://doi.org/10.1017/S0004972717001216
- arXiv
- http://arxiv.org/abs/arXiv:1802.06531
- URL
- http://arxiv.org/abs/1802.06531v1
- URL
- http://arxiv.org/pdf/1802.06531v1 本文へのリンクあり
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85044462011&origin=inward
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85044462011&origin=inward
- ID情報
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- DOI : 10.1017/S0004972717001216
- ISSN : 0004-9727
- eISSN : 1755-1633
- arXiv ID : arXiv:1802.06531
- SCOPUS ID : 85044462011