Holder’s inequality in Discrete Morrey spaces
Al Azhary Masta1, Indra Rukmana2 , Siti Fatimah3, and Muhamamd Taqiyuddin3

1,3 Department of Mathematics Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, INDONESIA

2 Raudhatul Jannah Sunior High School, Residence Grand Cilegon, Banten 42426, INDONESIA

4 Department of Mathematics Education, University of Georgia, Athens, United State of America

Abstract

Morrey spaces is a generalization of Lebesgues spaces. There are two type of Morrey spaces, i.e continous Morrey spaces and discrete Morrey spaces. In this paper we present sufficient and necessary conditions for Ho ̈lder’s inequality in discrete Morrey spaces. One of the keys to prove our results is to use the norm of the characteristic sequence of the balls in Z^n.

Keywords: Ho ̈lders inequality, sufficient and necessary conditions, discrete Morrey spaces

Topic: Mathematics