Boundedness of the Riesz Potential in Generalized Morrey Spaces

Hairur Rahman; M. I. Utoyo; Eridani

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Paper

Boundedness of the Riesz Potential in Generalized Morrey Spaces

In Proceedings of the International Conference on Mathematics and Islam ICMIs - Volume 1, 501-505, 2018 , Mataram, Indonesia

Authors: Hairur Rahman ¹ ; M. I. Utoyo ² and Eridani ³

Affiliations: ¹ Department of Mathematics, Universitas Islam Negeri Maulana Malik Ibrahim, Malang, 61515, Indonesia, Indonesia ; ² Department of Mathematics, Analysis Mathematical Research Group, Airlangga University, Surabaya 60115, Indonesia, Indonesia ; ³ Department of Mathematics, Analysis Mathematical Research Group, Airlangga University, Surabaya 60115, Indonesia, Indonesia

Keyword(s): Riesz Potential, Morrey Spaces, Boundedness.

Abstract: The purpose of this paper is to prove the necessary and sufficient condition for the boundedness of Riesz operators on homogeneous generalized Morrey spaces. Further, we will make use the Q-Ahlfors regularity condition in the proof instead of usual doubling conditions.

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Paper citation in several formats:

Rahman, H. ; Utoyo, M. and Eridani. (2020). Boundedness of the Riesz Potential in Generalized Morrey Spaces. In Proceedings of the International Conference on Mathematics and Islam - ICMIs; ISBN 978-989-758-407-7, SciTePress, pages 501-505. DOI: 10.5220/0008524405010505

@conference{icmis20,
author={Hairur Rahman and M. I. Utoyo and Eridani},
title={Boundedness of the Riesz Potential in Generalized Morrey Spaces},
booktitle={Proceedings of the International Conference on Mathematics and Islam - ICMIs},
year={2020},
pages={501-505},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008524405010505},
isbn={978-989-758-407-7},
}

TY - CONF

JO - Proceedings of the International Conference on Mathematics and Islam - ICMIs
TI - Boundedness of the Riesz Potential in Generalized Morrey Spaces
SN - 978-989-758-407-7
AU - Rahman, H.
AU - Utoyo, M.
AU - Eridani.
PY - 2020
SP - 501
EP - 505
DO - 10.5220/0008524405010505
PB - SciTePress