{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:33:32Z","timestamp":1760146412800,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2024,10,30]],"date-time":"2024-10-30T00:00:00Z","timestamp":1730246400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper aims to develop exchange formulae for the Stieltjes\u2013Poisson transform by using Mellin-type convolutions in the context of weighted Lebesgue spaces. A key result is the introduction of bilinear and continuous Mellin-type convolutions, expanding the scope of the analysis to include the space of weighted L1 functions and the space of continuous functions vanishing at infinity.<\/jats:p>","DOI":"10.3390\/axioms13110748","type":"journal-article","created":{"date-parts":[[2024,10,30]],"date-time":"2024-10-30T09:11:24Z","timestamp":1730279484000},"page":"748","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Exchange Formulae for the Stieltjes\u2013Poisson Transform over Weighted Lebesgue Spaces"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9277-8092","authenticated-orcid":false,"given":"Hari M.","family":"Srivastava","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8P 5C2, Canada"},{"name":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 406040, Taiwan"},{"name":"Center for Converging Humanities, Kyung Hee University, Seoul 02447, Republic of Korea"},{"name":"Department of Applied Mathematics, Chung Yuan Christian University, Taoyuan City 320314, Taiwan"},{"name":"Department of Mathematics and Informatics, Azerbaijan University, Baku 1007, Azerbaijan"},{"name":"Section of Mathematics, International Telematic University Uninettuno, 00186 Roma, Italy"}]},{"given":"Emilio Ram\u00f3n","family":"Negr\u00edn","sequence":"additional","affiliation":[{"name":"Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de La Laguna (ULL), ES-38271 La Laguna, Spain"},{"name":"Instituto de Matem\u00e1ticas y Aplicaciones (IMAULL), ULL Campus de Anchieta, Universidad de La Laguna (ULL), ES-38271 La Laguna, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6569-8540","authenticated-orcid":false,"given":"Jeetendrasingh","family":"Maan","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Scientific Computing, National Institute of Technology, Hamirpur 177005, India"}]}],"member":"1968","published-online":{"date-parts":[[2024,10,30]]},"reference":[{"key":"ref_1","first-page":"214","article-title":"Studies on the Stieltjes Transform","volume":"48","author":"Pollard","year":"1942","journal-title":"Bull. 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Math."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2350070","DOI":"10.1142\/S1793557123500705","article-title":"On Stieltjes type transforms over Boehmian spaces","volume":"16","author":"Roopkumar","year":"2023","journal-title":"Asian-Eur. J. Math."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Maan, J., and Negr\u00edn, E.R. (2024). The generalized Stieltjes\u2013Poisson transform over Lebesgue spaces and distributions of compact support. S\u00e3o Paulo J. Math. 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