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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.
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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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

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