%0 Thesis
%9 Skripsi
%A Awal Febriantono, NIM.: 20106010050
%B FAKULTAS SAINS DAN TEKNOLOGI
%D 2025
%F digilib:69945
%I UIN SUNAN KALIJAGA YOGYAKARTA
%K Kernel Bessel-Riesz, Operator Bessel-Riesz, Ruang Lebesgue, Ruang Metrik Ukuran
%P 74
%T ANALISIS KETERBATASAN OPERATOR BESSEL-RIESZ DI RUANG LEBESGUE YANG TERDEFINISI PADA RUANG METRIK UKURAN
%U https://digilib.uin-suka.ac.id/id/eprint/69945/
%X 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.
%Z Malahayati, S.Si., M.Sc. dan Aulia Khifah Futhona, S.Si., M.Sc