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Marcinkiewicz integral operators on product domains

Published online by Cambridge University Press:  19 June 2002

KYUNG SOO RIM
KYUNG SOO RIM
Affiliation:
School of Mathematics, Korea Institute for Advanced Study, Seoul 130-012, Korea. e-mail: [email protected]
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Abstract

With the cancellation property of the bounded kernel, we prove that the generalized Marcinkiewicz integral operator is bounded on L2 (ℝn×ℝm) for all dimensions n, m.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 132 , Issue 3 , May 2002 , pp. 523 - 530
Copyright
2002 Cambridge Philosophical Society

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