Generalized Hölder's inequality in Morrey spaces

Authors

  • Ifronika Analysis and Geometry Group, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, Indonesia Author
  • M. Idris Department of Mathematics, Universitas Lambung Mangkurat, Banjarbaru 70714, Indonesia Author
  • A. A. Masta Department of Mathematics Education, Universitas Pendidikan Indonesia, Bandung 40154, Indonesia Author
  • H. Gunawan Analysis and Geometry Group, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, Indonesia Author

Keywords:

Hölder's inequality, generalized Hölder's inequality, Morrey spaces, weak Morrey spaces, generalized Morrey spaces,

Subjects:

26D15, 46B25, 46E30

Abstract

The aim of this paper is to present sufficient and necessary conditions for generalizedHölder's inequality in Morrey spaces and generalized Morrey spaces. We also obtainsimilar results in weak Morrey spaces and generalized weak Morrey spaces. The sufficientand necessary conditions for the generalized Hölder's inequality in these spacesare obtained through estimates for characteristic functions of balls in $R^d$.

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Published

2018-10-15

Issue

Vol. 70 No. 4 (2018): Vol. 70, Issue 4

Section

Articles

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Copyright (c) 2018 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.