On the limiting case for boundedness of the B-Riesz potential in B-Morrey spaces

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• 作者：Vagif S. Guliyev ; Javanshir J. Hasanov and Yusuf Zeren
• 刊名：Analysis Mathematica
• 出版年：2009
• 出版时间：June, 2009
• 年：2009
• 卷：35
• 期：2
• 页码：87-97
• 全文大小：187.5 KB

文摘

We consider the generalized shift operator associated with the Laplace-Bessel differential operator $ \Delta _B = \sum\limits_{i = 1}^n {\frac{{\partial ^2 }} {{\partial x_j^2 }}} + \sum\limits_{i = 1}^k {\frac{{\gamma _i }} {{x_i }}\frac{\partial } {{\partial x_i }}} $ \Delta _B = \sum\limits_{i = 1}^n {\frac{{\partial ^2 }} {{\partial x_j^2 }}} + \sum\limits_{i = 1}^k {\frac{{\gamma _i }} {{x_i }}\frac{\partial } {{\partial x_i }}}