Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces

Abstract The main goal of the paper is to establish the boundedness of the fractional type Marcinkiewicz integral M β , ρ , q $\mathcal{M}_{\beta,\rho,q}$ on non-homogeneous metric measure space which includes the upper doubling and the geometrically doubling conditions. Under the assumption that th...

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Bibliographic Details
Main Authors: Guanghui Lu, Shuangping Tao
Format: Article
Language:English
Published: SpringerOpen 2016-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1203-0