Keterbatasan Operator Maksimal pada Ruang Morrey Diskrit - Submit Jurnal/Seminar

Putri, Awanda Adel Liyanto (2026) Keterbatasan Operator Maksimal pada Ruang Morrey Diskrit - Submit Jurnal/Seminar. Bachelor thesis, Institut Teknologi Kalimantan.

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Abstract

Analisis harmonik klasik umumnya dikembangkan pada ruang fungsi, namun kebutuhan analisis pada ruang barisan semakin meningkat seiring dengan berkembangnya formulasi teori fungsi dalam kerangka diskrit. Salah satu objek penting dalam kajian ini adalah operator maksimal yang berperan dalam mengontrol sifat integrabilitas fungsi. Penelitian ini bertujuan untuk mengkaji sifat keterbatasan dan kekontinuan dari operator maksimal fraksional pada ruang Morrey diskrit. Meskipun penelitian terdahulu telah membuktikan keterbatasan operator maksimal Hardy-Littlewood pada ruang Morrey diskrit, analisis untuk operator maksimal fraksional masih relatif terbatas. Pembuktian dalam penelitian ini dilakukan melalui dua pendekatan, yaitu metode estimasi norma secara langsung dan pendekatan analisis fungsional berbasis verifikasi sifat sublinearitas di dalam kerangka ruang Banach. Hasil penelitian berhasil menyusun estimasi normatif yang sesuai dengan struktur supremum lokal ruang tersebut, serta membuktikan bahwa operator maksimal fraksional bersifat sublinear, terbatas, dan kontinu pada ruang Morrey diskrit untuk parameter yang memenuhi syarat.

Item Type:	Thesis (Bachelor)
Subjects:	Q Science > QA Mathematics
Divisions:	Jurusan Matematika dan Teknologi Informasi > Matematika
Depositing User:	Awanda Putri
Date Deposited:	09 Jul 2026 02:23
Last Modified:	09 Jul 2026 02:23
URI:	http://repository.itk.ac.id/id/eprint/25899

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