Some properties for functions of VMO().

Tateoka, Jun

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The point-wise product of a function of bounded mean oscillation with a function of the Hardy space $H^{1}$ is not locally integrable in general. However, in view of the duality between $H^{1}$ and $B M O$ , we are able to give a meaning to the product as a Schwartz distribution. Moreover, this distribution can be written as the sum of an integrable function and a distribution in some adapted Hardy-Orlicz space. When dealing with holomorphic functions in the unit disc, the converse is also valid: every...

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Displaying similar documents to “Some properties for functions of VMO( 2 ω ).”

Displaying similar documents to “Some properties for functions of VMO( $2^{ω}$ ).”