Optimal embeddings of critical Sobolev-Lorentz-Zygmund spaces

• Wadade, Hidemitsu

抄録

We establish the embedding of the critical Sobolev-Lorentz-Zygmund space (Formula presented.)(ℝn ) into the generalized Morrey space M φr (ℝn ) with an optimal Young function φ. As an application, we obtain the almost Lipschitz continuity for func- tions in (Formula presented.)(ℝn ). O'Neil's inequality and its reverse play an essential role in the proofs of the main theorems.

収録刊行物

• Studia Mathematica

  Studia Mathematica 223 (1), 77-95, 2014-01-01

  Instytut Matematyczny

キーワード

• Almost Lipschitz continuity
• Generalized Morrey space
• Sobolev-Lorentz-Zygmund space

詳細情報

• CRID: 1050845760869618432
• NII論文ID: 120005516445
• NII書誌ID: AA00851218
• ISSN: 00393223
• ISSN: 17306337
• DOI: 10.4064/sm223-1-5
• Web Site: http://hdl.handle.net/2297/40166
• 本文言語コード: en
• 資料種別: journal article
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