Some Classical Operators on Vanishing Weighted Orlicz-Morrey Spaces

Year 2024, Volume: 16 Issue: 1, 96 - 102, 30.06.2024

Fatih Deringöz

https://doi.org/10.47000/tjmcs.1435237

Abstract

In this paper, we investigate the boundedness of the maximal operator in vanishing weighted Orlicz-Morrey spaces. As an application of this result, we show that these spaces are also invariont with respect to some classical operators of harmonic analysis, such as Riesz potential, fractional maximal operator, Hardy operator.

Keywords

weighted Orlicz-Morrey spaces, maximal operator, Riesz potential, Hardy operator, vanishing properties, applications.

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