Maximal Operator on Carleson Curves in Local Generalized weighted Morrey Spaces

Year 2026, Volume: 18 Issue: 1, 46 - 52, 23.02.2026

Süleyman Çelik

https://doi.org/10.47000/tjmcs.1723024

https://izlik.org/JA53HH55GG

Abstract

In this paper, we provide boundedness of strong and weak types for the maximum operator $\mathcal{M}$ in the generalized weighted Morrey space $M_{p,\varphi}(\Gamma,w)$ defined on Carleson curves $\Gamma$ and the local generalized weighted Morrey space $LM_{p,\varphi}^{\{t_0\}}(\Gamma,w)$.

Keywords

Carleson curves , local generalized weighted Morrey , Maximal operator , boundedness.

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