Generalized hÖlder’s inequality in morrey spaces
Ifronikaa, Idris M.b, Masta A.A.c, Gunawan H.a
a Analysis and Geometry Group, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung, 40132, Indonesia
b Department of Mathematics, Universitas Lambung Mangkurat, Banjarbaru, 70714, Indonesia
c Department of Mathematics Education, Universitas Pendidikan Indonesia, Bandung, 40154, Indonesia
Abstract
© 2018, Drustvo Matematicara Srbije. All rights reserved.The aim of this paper is to present sufficient and necessary conditions for generalized Hölder’s inequality in Morrey spaces and generalized Morrey spaces. We also obtain similar results in weak Morrey spaces and generalized weak Morrey spaces. The sufficient and necessary conditions for the generalized Hölder’s inequality in these spaces are obtained through estimates for characteristic functions of balls in ℝd.
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Indexed keywords
Generalized hölder’s inequality,Generalized morrey spaces,Generalized weak morrey spaces,Hölder’s inequality,Morrey spaces,Weak morrey spaces