Generalized Campanato space over non‐homogeneous space and its applications

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Dec 2025Embargo end date: 01 Jan 2024 English Publisher:WileyJournal:Mathematische Nachrichten, volume 299, pages 270-289 (issn: 0025-584X, eissn: 1522-2616,

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Authors: Yuxun Zhang; Jiang Zhou;

doi: 10.1002/mana.70098 , 10.48550/arxiv.2405.05940

arXiv: 2405.05940

Generalized Campanato space over non‐homogeneous space and its applications

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Abstract

Abstract The authors introduce generalized Campanato space with regularized condition over non‐homogeneous space, and study its basic properties including the John–Nirenberg inequality and equivalent characterizations. As applications, the boundedness of fractional type Marcinkiewicz integral and its commutator on generalized Morrey space over non‐homogeneous space is obtained.

Related Organizations

Xinjiang University
China (People's Republic of)

Keywords

Mathematics - Functional Analysis, 42B35, 42B20, 42B25, 30L15, FOS: Mathematics, Functional Analysis (math.FA)

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