Korean J. Math. Vol. 29 No. 1 (2021) pp.57-64
DOI: https://doi.org/10.11568/kjm.2021.29.1.57

Embedding theorems on the fractional Orlicz-Sobolev spaces

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Published: Mar 30, 2021
Keywords:
Fractional Orlicz space, fractional Orlicz-Sobolev space, embedding inclusion
Mathematics Subject Classification:
46E30, 46E35

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Tacksun Jung
Department of Mathematics, Kunsan National University, Kunsan 573-701, Korea
Q-Heung Choi
Department of Mathematics Education, Inha University, Incheon 402-751, Korea

Abstract

In this paper we deal with the embedding inclusions on the fractional Orlicz-Sobolev spaces which are crucial roles for studying the theories of the partial differential equations. We get some properties and theories of the embedding inclusions on the fractional Orlicz-Sobolev spaces.



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Supporting Agencies

Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education Science and Technology

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