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

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

In this paper, we prove the boundedness of the Riesz potential I α 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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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2024, Vol.25 (1), p.141-151
Hauptverfasser: Aykol, Canay, Hasanov, J. Javanshir
Format: Artikel
Sprache:eng
Schlagworte:
Inequality
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Zusammenfassung:In this paper, we prove the boundedness of the Riesz potential I α 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.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2024.4465