{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:01:30Z","timestamp":1760058090189,"version":"build-2065373602"},"reference-count":48,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,3,10]],"date-time":"2025-03-10T00:00:00Z","timestamp":1741564800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Research Foundation of Ukraine","award":["2023.04\/0160","0124U003748"],"award-info":[{"award-number":["2023.04\/0160","0124U003748"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>New estimates for the convergence abscissas of the multiple Laplace\u2013Stieltjes integral are obtained. There is described the relationship between the integrand function, the Lebesgue\u2013Stieltjes measure, and the abscissa of convergence of the multiple Laplace\u2013Stieltjes integral. Since the multiple Laplace\u2013Stieltjes integral is a direct generalization of the Laplace integral and multiple Dirichlet series, known results about convergence domains for the multiple Dirichlet series are obtained as corollaries of the presented more general statements for the multiple Laplace\u2013Stieltjes integral.<\/jats:p>","DOI":"10.3390\/axioms14030202","type":"journal-article","created":{"date-parts":[[2025,3,10]],"date-time":"2025-03-10T05:46:52Z","timestamp":1741585612000},"page":"202","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On the Abscissa of Convergence of Laplace\u2013Stieltjes Integrals in the Euclidean Real Vector Space Rp"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0598-2237","authenticated-orcid":false,"given":"Andriy","family":"Bandura","sequence":"first","affiliation":[{"name":"Department of Physics and Mathematics, Ivano-Frankivsk National Technical University of Oil and Gas, 76019 Ivano-Frankivsk, Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5217-8394","authenticated-orcid":false,"given":"Oleh","family":"Skaskiv","sequence":"additional","affiliation":[{"name":"Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 79000 Lviv, Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-2359-0420","authenticated-orcid":false,"given":"Olha","family":"Zadorozhna","sequence":"additional","affiliation":[{"name":"Independent Researcher, London W5 2TJ, UK"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1007\/BF01574830","article-title":"\u00dcber die Konvergenzabszisse des Laplace-Integrals","volume":"54","author":"Knopp","year":"1951","journal-title":"Math. 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