Commutators of θ-type generalized fractional integrals on non-homogeneous spaces

Commutators of θ-type generalized fractional integrals on non-homogeneous spaces

Abstract The aim of this paper is to establish the boundednes of the commutator [ b , T α ] $[b,T_{\alpha }]$ generated by θ-type generalized fractional integral T α $T_{\alpha }$ and b ∈ RBMO ˜ ( μ ) $b\in \widetilde{\mathrm{RBMO}}(\mu )$ over a non-homogeneous metric measure space. Under the assum...

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Bibliographic Details
Main Author: Guanghui Lu
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of Inequalities and Applications
Subjects:
Non-homogeneous metric measure space
θ-type generalized fractional integral
Commutator
RBMO ˜ ( μ ) $\widetilde{\mathrm{RBMO}}(\mu )$
Hardy space H ˜ b 1 ( μ ) $\widetilde{H}^{1}_{b}(\mu )$
Online Access:http://link.springer.com/article/10.1186/s13660-020-02470-1

Internet

http://link.springer.com/article/10.1186/s13660-020-02470-1

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