Riesz potentials in the local variable Morrey-Lorentz spaces and some applications

Aykol, Canay and Hasanov, J. Javanshir (2024) Riesz potentials in the local variable Morrey-Lorentz spaces and some applications. Miskolc Mathematical Notes, 25 (1). pp. 141-151. ISSN 1787-2413

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Abstract

In this paper, we prove the boundedness of the Riesz potential Iα in local variable Morrey-Lorentz spaces. Also we apply our results to particular operators such as fractional maximal operator, fractional Marcinkiewicz operator and fractional powers of some analytic semigroups in these spaces.

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