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Hardy Space Estimate for the Product of Singular Integrals

Published online by Cambridge University Press:  20 November 2018

Akihiko Miyachi
Akihiko Miyachi*
Affiliation:
Department of Mathematics, Tokyo Woman’s Christian University, Zempukuji, Suginami-ku, Tokyo 167-8585, Japan email: miyachi@twcu.ac.jp
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Abstract

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${{H}^{p}}$ 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

42B30Hp spacemultilinear operatorsingular integralfractional integrationSobolev space
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 52 , Issue 2 , 01 April 2000 , pp. 381 - 411
Copyright
Copyright © Canadian Mathematical Society 2000

References

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