Holder’s inequality in Discrete Morrey spaces

Al Masta; Indra Rukmana; Muhammad Taqiyuddin; Siti Fatimah

Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia

Research Article

Holder’s inequality in Discrete Morrey spaces

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@INPROCEEDINGS{10.4108/eai.12-10-2019.2296398,
    author={Al Azhary Masta and Indra  Rukmana and Muhammad  Taqiyuddin and Siti  Fatimah},
    title={Holder’s inequality in Discrete Morrey spaces},
    proceedings={Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia},
    publisher={EAI},
    proceedings_a={MSCEIS},
    year={2020},
    month={7},
    keywords={holder's inequality sufficient condition for holder’s inequality discrete morrey spaces weak discrete morrey spaces},
    doi={10.4108/eai.12-10-2019.2296398}
}

Al Azhary Masta
Indra Rukmana
Muhammad Taqiyuddin
Siti Fatimah
Year: 2020
Holder’s inequality in Discrete Morrey spaces
MSCEIS
EAI
DOI: 10.4108/eai.12-10-2019.2296398

Al Azhary Masta¹^,*, Indra Rukmana², Muhammad Taqiyuddin³, Siti Fatimah¹

1: 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
3: Department of Mathematics and Science Education, University of Georgia Athens, Georgia 30602, United States

*Contact email: alazhari.masta@upi.edu

Abstract

Morrey spaces are a generalization of Lebesgue's spaces. There are two types of Morrey spaces, i.e continuous Morrey spaces and discrete Morrey spaces. In this paper, first we review definitions of these types, and then we present sufficient condition for Holder’s inequality in discrete Morrey spaces and in weak discrete Morrey spaces. One of the keys to prove our results is to use the Holder’s sequence of the balls in Zn

Keywords: holder's inequality sufficient condition for holder’s inequality discrete morrey spaces weak discrete morrey spaces

Published: 2020-07-30
Publisher: EAI

: http://dx.doi.org/10.4108/eai.12-10-2019.2296398

Holder’s inequality in Discrete Morrey spaces

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