Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials
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- Mizuta Yoshihiro
- Department of Mathematics, Graduate School of Science, Hiroshima University
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- Nakai Eiichi
- Department of Mathematics, Osaka Kyoiku University
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- Sawano Yoshihiro
- Department of Mathematics, Kyoto University
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- Shimomura Tetsu
- Department of Mathematics, Graduate School of Education, Hiroshima University
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Our aim in this paper is to prove the Gagliardo-Nirenberg inequality for Riesz potentials of functions in variable exponent Lebesgue spaces, which are called Musielak-Orlicz spaces with respect to Φ(x,t) = tp(x)(log(c0 + t))q(x) for t > 0 and x ∈ ℝn, via the Littlewood-Paley decomposition.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 65 (2), 633-670, 2013
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390001205116119296
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- NII論文ID
- 10031177293
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 024429226
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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