May 9, 2024Open Access

Generalized Campanato Space Over Non-homogeneous Space and Its Applications

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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 operator and its commutator on generalized Morrey space over non-homogeneous space is obtained.

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Zhang et al. (Thu,) studied this question.

synapsesocial.com/papers/68e6aec4b6db643587630f35 https://doi.org/https://doi.org/10.48550/arxiv.2405.05940

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