Maximal Operator on Carleson Curves in Local Generalized weighted Morrey Spaces

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 $LM_{p,\varphi}^{\{t_0\}}(\Gamma,w)$.

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Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2026-02-23
DOI
https://doi.org/10.47000/tjmcs.1723024
Primary Topic
Advanced Harmonic Analysis Research
Type
article
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article

Maximal Operator on Carleson Curves in Local Generalized weighted Morrey Spaces

Turkish Journal of Mathematics and Computer Science
Advanced Harmonic Analysis Research
article

Maximal Operator on Carleson Curves in Local Generalized weighted Morrey Spaces

article en

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 $LM_{p,\varphi}^{\{t_0\}}(\Gamma,w)$.

Turkish Journal of Mathematics and Computer ScienceVol. 18(1)
Ankara Sosyal Bilimler Üniversitesi (TR)
Openalex Percentile: Top 42%
Advanced Harmonic Analysis Research
DOIOpen Access PDFOpenAlex
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