{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T12:15:13Z","timestamp":1761653713147,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T00:00:00Z","timestamp":1761523200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of ScientificResearch at Imam Mohammad Ibn Saud Islamic University","award":["IMSIU-DDRSP2503"],"award-info":[{"award-number":["IMSIU-DDRSP2503"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This paper studies a generalized class of linear operators acting on spaces of analytic functions, defined by Pn\u03c8,\u03c6(f)(z)=\u2211j=0n\u03c8j(z)f(j)(\u03c6(z)), where \u03c8={\u03c80,\u03c81,\u2026,\u03c8n}\u2282H(D) and \u03c6\u2208S(D). This formulation encompasses several classical operators, including composition, weighted composition, differentiation\u2013composition, and the Stevi\u0107\u2013Sharma operator. We focus on the action of Pn\u03c8,\u03c6 from BMOA and analytic Besov spaces Bp into the Bloch space B, and provide necessary and sufficient conditions for boundedness and compactness. These results unify and extend many previously known characterizations and demonstrate the flexibility of the Pn\u03c8,\u03c6 framework in the context of analytic operator theory.<\/jats:p>","DOI":"10.3390\/sym17111810","type":"journal-article","created":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T11:47:19Z","timestamp":1761652039000},"page":"1810","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Sums of Generalized Weighted Composition Operators Acting from Besov and BMOA Spaces to Bloch Spaces"],"prefix":"10.3390","volume":"17","author":[{"given":"Shams","family":"Alyusof","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nacir","family":"Hmidouch","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Talladega College, Talladega, AL 35160, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rabab","family":"Alyusof","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, King Saud University, Riyadh 11421, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,10,27]]},"reference":[{"key":"ref_1","first-page":"12","article-title":"On Bloch functions and normal functions","volume":"279","author":"Anderson","year":"1974","journal-title":"J. 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