Riesz potential in the local Morrey-Lorentz spaces and some applications

Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/11018

Title:	Riesz potential in the local Morrey-Lorentz spaces and some applications
Authors:	Guliyev, V.S. Küçükaslan, Abdulhamit Aykol, C. Serbetci, A.
Keywords:	Hardy operator Local Morrey-Lorentz space Riesz potential
Publisher:	De Gruyter
Abstract:	In this paper, the necessary and sufficient conditions are found for the boundedness of the Riesz potential I ? in the local Morrey-Lorentz spaces M p, q; ? loc ? (Rn). This result is applied to the boundedness of particular operators such as the fractional maximal operator, fractional Marcinkiewicz operator and fractional powers of some analytic semigroups on the local Morrey-Lorentz spaces M p, q; ? loc ? (Rn). © 2018 Walter de Gruyter GmbH, Berlin/Boston.
URI:	https://hdl.handle.net/11499/11018 https://doi.org/10.1515/gmj-2018-0065
ISSN:	1072-947X
Appears in Collections:	Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection Uygulamalı Bilimler Yüksekokulu Koleksiyonu WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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