eprintid: 69945
rev_number: 10
eprint_status: archive
userid: 12460
dir: disk0/00/06/99/45
datestamp: 2025-02-10 02:26:37
lastmod: 2025-02-10 02:26:37
status_changed: 2025-02-10 02:26:37
type: thesis
metadata_visibility: show
contact_email: muh.khabib@uin-suka.ac.id
creators_name: Awal Febriantono, NIM.: 20106010050
title: ANALISIS KETERBATASAN OPERATOR BESSEL-RIESZ DI RUANG LEBESGUE YANG TERDEFINISI PADA RUANG METRIK UKURAN
ispublished: pub
subjects: 560
divisions: jur_mat
full_text_status: restricted
keywords: Kernel Bessel-Riesz, Operator Bessel-Riesz, Ruang Lebesgue, Ruang Metrik Ukuran
note: Malahayati, S.Si., M.Sc. dan Aulia Khifah Futhona, S.Si., M.Sc
abstract: The limitations of the Bessel-Riesz operator have been extensively studied
and developed by researchers, particularly in the field of mathematical analysis.
This research examines the boundedness of the Bessel-Riesz operator in Lebesgue
spaces defined on metric measure spaces. The Bessel-Riesz operator is a convolution
of the Bessel-Riesz kernel and functions in Lebesgue spaces. Before proving the
boundedness of the Bessel-Riesz operator, it is first shown that the Bessel-Riesz
kernel satisfies the membership condition in the L1 space. Furthermore, the proof
also utilizes the boundedness of the Hardy-Littlewood maximal operator in Lebesgue
spaces. By leveraging the membership property of the Bessel-Riesz kernel in the L1
space and the boundedness of the Hardy-Littlewood maximal operator, the Bessel-
Riesz operator is shown to be bounded from Lp to Lp.
date: 2025-01-24
date_type: published
pages: 74
institution: UIN SUNAN KALIJAGA YOGYAKARTA
department: FAKULTAS SAINS DAN TEKNOLOGI
thesis_type: skripsi
thesis_name: other
citation:   Awal Febriantono, NIM.: 20106010050  (2025) ANALISIS KETERBATASAN OPERATOR BESSEL-RIESZ DI RUANG LEBESGUE YANG TERDEFINISI PADA RUANG METRIK UKURAN.  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/69945/1/20106010050_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/69945/2/20106010050_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf