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All Journal dCartesian: Jurnal Matematika dan Aplikasi Hilbert Journal of Mathematical Analysis d'Cartesian: Jurnal Matematika dan Aplikasi
Artmo Dihartomo Laweangi
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Chemistry Computer Science & IT Control & Systems Engineering Engineering Mathematics Physics

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Journal : Hilbert Journal of Mathematical Analysis

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Embedding from Morrey spaces to Morrey-Stummel spaces Laweangi, Artmo Dihartomo; Gunawan, Hendra
Hilbert Journal of Mathematical Analysis Vol. 2 No. 2 (2024): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i2.25

Abstract

In this paper, we study the relation between Stummel spaces, Morrey spaces, and Lebesgue spaces. We show the existence of embedding from Lebesgue spaces to Stummel spaces, and from Morrey spaces to Stummel spaces. The key of showing the existence of embeddings relies on the boundedness of Riesz potential operator both in Morrey spaces and Lebesgue spaces.
Co-Authors Jayawarsa, A.A. Ketut Jullia Titaley Mans Lumiu Mananohas Mans Lumiu Mananohas