Grand variable Herz-Morrey type Besove spaces and Triebel-Lizorkin spaces

2025/02/19 by Mehvish Sultan, Sultan, Mehvish, Babar Sultan +1
Mathematics · #42B25 #42B35 #46E35 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2502.13554

openalex publication_date 2025/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the article, the boundedness of vector-valued sublinear operators in grand variable Herz-Morrey spaces M K _{λ, p(⋅)}^{η(⋅), q), θ}(ℝⁿ) are obtained. Then grand variable Herz-Morrey type Besov and Triebel-Lizorkin spaces are defined. We will also prove the equivalent quasi-norms by Peetre's maximal operators in these spaces.

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