TY  - THES
N1  - Malahayati, S.Si., M.Sc. dan Aulia Khifah Futhona, S.Si., M.Sc
ID  - digilib69945
UR  - https://digilib.uin-suka.ac.id/id/eprint/69945/
A1  - Awal Febriantono, NIM.: 20106010050
Y1  - 2025/01/24/
N2  - 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.
PB  - UIN SUNAN KALIJAGA YOGYAKARTA
KW  - Kernel Bessel-Riesz
KW  -  Operator Bessel-Riesz
KW  -  Ruang Lebesgue
KW  -  Ruang Metrik Ukuran
M1  - skripsi
TI  - ANALISIS KETERBATASAN OPERATOR BESSEL-RIESZ DI RUANG LEBESGUE YANG TERDEFINISI PADA RUANG METRIK UKURAN
AV  - restricted
EP  - 74
ER  -