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Keywords:
bounded mean oscillation; commutator; Hardy space; variable exponent Lebesgue space
bounded mean oscillation; commutator; Hardy space; variable exponent Lebesgue space
Summary:
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.
References:
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