Riesz potential in the local Morrey-Lorentz spaces and some applications
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Yes
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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.
Description
Keywords
Hardy operator, Local Morrey-Lorentz space, Riesz potential, Local Morrey-Lorentz space; Riesz potential; Hardy operator, Local Morrey-Lorentz space, Hardy operator, Riesz potential, 510, Potentials and capacities, extremal length and related notions in higher dimensions, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), local Morrey-Lorentz space
Fields of Science
0101 mathematics, 01 natural sciences
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OpenCitations Citation Count
6
Volume
27
Issue
Start Page
557
End Page
567
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CrossRef : 3
Scopus : 6
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6
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7
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50
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