{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T12:07:13Z","timestamp":1770984433281,"version":"3.50.1"},"reference-count":41,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T00:00:00Z","timestamp":1770768000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12271483"],"award-info":[{"award-number":["12271483"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Zhejiang University of Science and Technology Graduate Student Science","award":["2024yjskc20"],"award-info":[{"award-number":["2024yjskc20"]}]},{"name":"Zhejiang University of Science and Technology Graduate Student Science","award":["2021yjsjg09"],"award-info":[{"award-number":["2021yjsjg09"]}]},{"name":"Scientific Research Fund of Zhejiang Provincial Education Department","award":["Y202557823"],"award-info":[{"award-number":["Y202557823"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Let M\u03b1 be the bilinear fractional maximal operator. In this paper, we prove that the commutators M\u03b1,bi in the i-th entry (i=1,2) and the bilinear iterated commutators M\u03b1,b\u2192 of M\u03b1 are bounded operators from product weighted Morrey spaces Lp1,\u03bap1q1w1p1,w1q1\u00d7Lp2,\u03bap2q2w2p2,w2q2 to weighted Morrey spaces Lq,\u03bavw\u2192q, provided that b\u2208BMO(Rn) and b\u2192=(b1,b2)\u2208BMO(Rn)\u00d7BMO(Rn). Furthermore, by using the techniques of function decompositions and the Fr\u00e9chet\u2013Kolmogorov theorem on weighted Morrey spaces, the compactness of M\u03b1,bi(i=1,2) and M\u03b1,b\u2192 are also established whenever b\u2208CMO(Rn) and b\u2192=(b1,b2)\u2208CMO(Rn)\u00d7CMO(Rn), where CMO(Rn) denotes the closure of Cc\u221e(Rn) in the BMO(Rn) topology.<\/jats:p>","DOI":"10.3390\/axioms15020131","type":"journal-article","created":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T17:45:36Z","timestamp":1770831936000},"page":"131","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Boundedness and Compactness for the Iterated Commutators of Bilinear Fractional Maximal Operators on Weighted Morrey Spaces"],"prefix":"10.3390","volume":"15","author":[{"given":"Kangmin","family":"Zhu","sequence":"first","affiliation":[{"name":"Department of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1789-3728","authenticated-orcid":false,"given":"Zhiyu","family":"Lin","sequence":"additional","affiliation":[{"name":"Department of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China"},{"name":"School of Information Engineering, Zhijiang College of Zhejiang University of Technology, Shaoxing 312030, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5498-7654","authenticated-orcid":false,"given":"Xiangxing","family":"Tao","sequence":"additional","affiliation":[{"name":"Department of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-4144-2292","authenticated-orcid":false,"given":"Chunmei","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,2,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4310\/MRL.1999.v6.n1.a1","article-title":"Multilinear estimates and fractional integration","volume":"6","author":"Kenig","year":"1999","journal-title":"Math. 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