Hardy's inequalities for Hermite and Laguerre expansions revisited

• Kanjin Yuichi

  Mathematics Section, Division of Innovative Technology and Science, Graduate School of Natural Science and Technology, Kanazawa University

抄録

We show that Hardy's inequalities for Laguerre expansions hold on the space L¹(0,∞) when the Laguerre parameters α are positive, and we prove that although the inequality holds on the real Hardy space H¹(0,∞) if α = 0, it does not hold on L¹(0,∞). Further, Hardy's inequality for Hermite expansion is established on L¹(0,∞).

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 63 (3), 753-767, 2011

  一般社団法人 日本数学会

キーワード

• Hardy's inequality
• Hermite expansion
• Laguerre expansion

詳細情報

• CRID: 1390001205115861632
• NII論文ID: 10029321824
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06330753
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 11170132
• Web Site: http://hdl.handle.net/2297/29460
• Web Site: http://id.ndl.go.jp/bib/11170132
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I11170132
• 本文言語コード: en
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