Geodesic
Notes on commutator on the variable exponent Lebesgue spaces
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1029-1037.

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We obtain the factorization theorem for Hardy space via the variable exponent Lebesgue spaces. As an application, it is proved that if the commutator of Coifman, Rochberg and Weiss $[b,T]$ is bounded on the variable exponent Lebesgue spaces, then $b$ is a bounded mean oscillation (BMO) function.
DOI : 10.21136/CMJ.2019.0590-17
Classification : 42B20, 47B07
Keywords: bounded mean oscillation; commutator; Hardy space; variable exponent Lebesgue space 
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     title = {Notes on commutator on the variable exponent {Lebesgue} spaces},
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Wang, Dinghuai. Notes on commutator on the variable exponent Lebesgue spaces. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1029-1037. doi : 10.21136/CMJ.2019.0590-17. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0590-17/

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