Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 11, Number 3 (2017), 477-496.
Hardy-type space estimates for multilinear commutators of Calderón–Zygmund operators on nonhomogeneous metric measure spaces
Let be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. Let be a Calderón–Zygmund operator and let be a finite family of functions. In this article, the authors establish the boundedness of the multilinear commutator , generated by and from the atomic Hardy-type space into the Lebesgue space . The authors also prove that is bounded from the atomic Hardy-type space into the atomic Hardy space via the molecular characterization of .
Banach J. Math. Anal., Volume 11, Number 3 (2017), 477-496.
Received: 28 April 2016
Accepted: 25 July 2016
First available in Project Euclid: 19 April 2017
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47B47: Commutators, derivations, elementary operators, etc.
Secondary: 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B35: Function spaces arising in harmonic analysis 30L99: None of the above, but in this section
Chen, Jie; Lin, Haibo. Hardy-type space estimates for multilinear commutators of Calderón–Zygmund operators on nonhomogeneous metric measure spaces. Banach J. Math. Anal. 11 (2017), no. 3, 477--496. doi:10.1215/17358787-2017-0002. https://projecteuclid.org/euclid.bjma/1492618125