relation: https://digilib.uin-suka.ac.id/id/eprint/69945/
title: ANALISIS KETERBATASAN OPERATOR BESSEL-RIESZ DI RUANG LEBESGUE YANG TERDEFINISI PADA RUANG METRIK UKURAN
creator: Awal Febriantono, NIM.: 20106010050
subject: 510 Mathematics (Matematika)
description: 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
type: Thesis
type: NonPeerReviewed
format: text
language: id
identifier: https://digilib.uin-suka.ac.id/id/eprint/69945/1/20106010050_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
format: text
language: id
identifier: https://digilib.uin-suka.ac.id/id/eprint/69945/2/20106010050_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf
identifier:   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.