The Hardy–Littlewood–Sobolev inequality for (β,γ)-distance Riesz potentials

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• 作者：Ç ; inar ; Inan ; Duru ; Hakki
• 关键词：Riesz potentials ; (β ; γ ; )-distance ; Hardy&ndash ; Littlewood&ndash ; Sobolev inequality
• 刊名：Applied Mathematics and Computation
• 出版年：2004
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：June 14, 2004
• 卷：153
• 期：3
• 页码：757-762
• 文件大小：183 K

摘要

The generalized with respect to (β,γ)-distance Riesz potential defined on Sobolev space W_p^l(Rⁿ) is constructed and for this potential the theorem of Hardy–Littlewood–Sobolev type has been established.