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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA Jurnal Fourier JMPM: Jurnal Matematika dan Pendidikan Matematika PEDULI: Jurnal Imiah Pengabdian Pada Masyarakat Abdimas: Jurnal Pengabdian Masyarakat Universitas Merdeka Malang Sains dan Matematika Jurnal Kajian Matematika dan Aplikasinya GEMBIRA (Pengabdian Kepada Masyarakat)
Dahliatul Hasanah
Universitas Negeri Malang
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On the Hardy-Littlewood Maximal Operator in Zorko Spaces Hasanah, Dahliatul; Sisworo; Rahmawati, Ariska Nurfitriyani
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 11 No 1 (2026): Vol. 11 No. 1 (2026): March - August 2026
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

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Abstract

Zorko spaces are introduced to address the density issue in Morrey spaces which are defined by utilizing the difference of a function of first order. Later the difference of a function of second order is also employed to define modified Zorko spaces and approximation properties are investigated therein. On the other hand, integral operators are mostly studied on the boundedness properties in Morrey spaces and its variants. In this paper, integral operators, especially Hardy-Littlewood maximal operators and fractional Hardy-Littlewood maximal operators, are investigated its boundedness and closedness properties in Zorko spaces.
Co-Authors HAFIIZH, MOCHAMMAD Hery Susanto I Made Sulandra Imam Supeno Indriati Nurul Hidayah Moh. Ridwan Nila Puspita Dewi Oktoviana, Lucky Tri Rahmawati, Ariska Nurfitriyani Rini Nurhakiki Rustanto Rahardi Sisworo Slamet . Susiswo Tjang Daniel Chandra Trianingsih Eni Lestari