{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T22:14:51Z","timestamp":1769811291183,"version":"3.49.0"},"reference-count":18,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T00:00:00Z","timestamp":1769731200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Common Scientific Research Project of Yili Normal University","award":["2021YSYB073"],"award-info":[{"award-number":["2021YSYB073"]}]},{"name":"Common Scientific Research Project of Yili Normal University","award":["2024YSYB010"],"award-info":[{"award-number":["2024YSYB010"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, using harmonic analysis tools\u2212including spherical harmonic decomposition of kernels, sharp maximal function estimates, and variable exponent space theory\u2014we investigate the boundedness of the commutator [b,M\u03a9,\u03b2] on variable exponent central Morrey spaces, under suitable regularity conditions on the variable exponents. Here, \u03a9\u2208Ll(Sn\u22121) (l\u22651) denotes a zero-degree homogeneous function on the unit sphere Sn\u22121, \u03b2 satisfies 0\u2264\u03b2&lt;n, and b\u2208CBMO(Rn).<\/jats:p>","DOI":"10.3390\/axioms15020100","type":"journal-article","created":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T11:09:22Z","timestamp":1769771362000},"page":"100","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Boundedness of Commutators Generated by the Rough Fractional Maximal Operator on Variable Exponent Central Morrey Spaces"],"prefix":"10.3390","volume":"15","author":[{"given":"Yuhe","family":"Yang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Yili Normal University, Yining 835000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhenzhen","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Yili Normal University, Yining 835000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Suixin","family":"He","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Yili Normal University, Yining 835000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,1,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1090\/S0002-9947-1938-1501936-8","article-title":"On the solutions of quasi-linear elliptic partial differential equations","volume":"43","author":"Morrey","year":"1938","journal-title":"Trans. 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