Duality of central Herz–Morrey–Musielak–Orlicz spaces of variable exponents

• Autores: Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 70, Fasc. 1, 2019, págs. 117-151
• Idioma: inglés
• DOI: 10.1007/s13348-018-0222-1
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• Resumen

  • Our aim in this paper is to establish duality of central Herz-Morrey-Musielak-Orlicz spaces \mathcal {H}^{\Phi ,q(\cdot ),\omega }(\mathbf{R}^N_0) of variable exponents, the space \underline{\mathcal {H}}^{\Phi ,q(\cdot ),\omega }(\mathbf{R}^N_0) and its complementary space \overline{\mathcal {H}}^{\Phi ,q(\cdot ),\omega }(\mathbf{R}^N_0) by studying the associate spaces of central Herz-Morrey-Musielak-Orlicz spaces \mathcal {H}^{\Phi ,q_1,q_2,\omega }(\mathbf{R}^N_0), the space \underline{\mathcal {H}}^{\Phi ,q_1,q_2,\omega }(\mathbf{R}^N_0) and its complementary space \overline{\mathcal {H}}^{\Phi ,q_1,q_2,\omega }(\mathbf{R}^N_0).