INTERNATIONAL RESEARCH JOURNAL OF SCIENCE ENGINEERING AND TECHNOLOGY
( Online- ISSN 2454 -3195 ) New DOI : 10.32804/RJSET
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HÖLDER’S INEQUALITY IN DOUBLE ORLICZ SEQUENCE SPACES
1 Author(s): NAVEEN KUMAR SRIVASTAVA
Vol - 8, Issue- 2 , Page(s) : 56 - 60 (2018 ) DOI : https://doi.org/10.32804/RJSET
Orlicz spaces is one of Banach space were firstly initiated by Birnbaum W. Orlicz. There are two categories of Orlicz spaces i.e. continuous Orlicz spaces and Orlicz sequence spaces. Many authors have discussed about continuous Orlicz spaces especially Hölder's inequality in these spaces. In this paper, we present a sufficient condition for generalized Hölder's inequality in Orlicz double sequence spaces. One of the key to finding our results is to use the norm of the characteristic sequence of the balls in Z.