$H^p$ estimate for the multilinear operators which are finite sums of pointwise products of singular integrals and fractional integrals is given. An application to Sobolev space and some examples are also given.

Keywords:

$H^p$ space, multilinear operator, singular integral, fractional integration, Sobolev space $H^p$ space, multilinear operator, singular integral, fractional integration, Sobolev space

MSC Classifications:

42B20 show english descriptions Singular and oscillatory integrals (Calderon-Zygmund, etc.) 42B20 - Singular and oscillatory integrals (Calderon-Zygmund, etc.)

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