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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Journal of the Indonesian Mathematical Society Journal of Mathematical and Fundamental Sciences Indonesian Journal of Science and Technology BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Eurekamatika IndoMath: Indonesia Mathematics Education
Masta, Al Azhary
Universitas Pendidikan Indonesia
Humanities Astronomy Chemistry Computer Science & IT Control & Systems Engineering Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Environmental Science Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Physics Transportation

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Journal : Indonesian Journal of Science and Technology

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Third Version of Weak Orlicz–Morrey Spaces and Its In-clusion Properties Masta, Al Azhary; Fatimah, Siti; Taqiyuddin, Muhammad
Indonesian Journal of Science and Technology Vol 4, No 2 (2019): IJOST: VOLUME 4, ISSUE 2, 2019
Publisher : Universitas Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17509/ijost.v4i2.18182

Abstract

Orlicz–Morrey spaces are generalizations of Orlicz spaces and Morrey spaces which were first introduced by Nakai. There are  three  versions  of  Orlicz–Morrey  spaces.  In  this  article,  we discussed  the  third  version  of  weak  Orlicz–Morrey  space, which is an enlargement of third version of (strong) Orlicz– Morrey space. Similar to its first version and second version, the third version of weak Orlicz-Morrey space is considered as  a  generalization  of  weak  Orlicz  spaces,  weak  Morrey spaces,  and  generalized  weak  Morrey  spaces.  This  study investigated  some  properties  of the third  version of weak Orlicz–Morrey spaces, especially the sufficient and necessary conditions for inclusion relations between two these spaces. One of the keys to get our result is to estimate the quasi- norm of characteristics function of open balls in ℝ.
Co-Authors Amalina, Nur Dina Apriani, Meta Cece Kustiawan Dasep, Dasep Encum Sumiaty, Encum Endang Cahya M.A Fatimah, Siti Hendra Gunawan Hulliyatul Khoiriyyah Ifronika - Indra Rukmana, Indra Khusnul Novianingsih Latifah, Afiatul Muhammad Taqiyuddin Muhammad Taqiyuddin Nurizza, Shendy Septyaneu Pradipta Swiantana Prayoga Rizky Rosjanuardi Rosmayanti, Imalia Dwi Scarayu, Hana Mutiara Siti Fatimah Syamsul Arifin Ulfa, Nadia Wono Setya Budhi