Variable exponent weighted norm inequality for generalized Riesz potentials on the unit ball

• Autores: Fumi-Yuki Maeda, Yoshihiro Mizuta, Tetsu Shimomura
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 69, Fasc. 3, 2018, págs. 377-394
• Idioma: inglés
• DOI: 10.1007/s13348-017-0210-x
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• Resumen

  • Our aim in this paper is to establish variable exponent weighted norm inequalities for generalized Riesz potentials on the unit ball via norm inequalities in variable exponent non-homogeneous central Herz–Morrey spaces on the unit ball. As an application, we shall show Sobolev-type integral representation for a C^1-function on {\mathbb R}^N{\setminus } \{0\} which vanishes outside the unit ball.