@phdthesis{digilib69945,
           month = {January},
           title = {ANALISIS KETERBATASAN OPERATOR BESSEL-RIESZ DI RUANG LEBESGUE YANG TERDEFINISI PADA RUANG METRIK UKURAN},
          school = {UIN SUNAN KALIJAGA YOGYAKARTA},
          author = {NIM.: 20106010050 Awal Febriantono},
            year = {2025},
            note = {Malahayati, S.Si., M.Sc. dan Aulia Khifah Futhona, S.Si., M.Sc},
        keywords = {Kernel Bessel-Riesz, Operator Bessel-Riesz, Ruang Lebesgue, Ruang Metrik Ukuran},
             url = {https://digilib.uin-suka.ac.id/id/eprint/69945/},
        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.}
}