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Remarks on square functions in the Littlewood-Paley theory

Published online by Cambridge University Press:  17 April 2009

Shuichi Sato
Shuichi Sato
Affiliation:
Department of Mathematics, Faculty of Education, Kanazawa University, Kanazawa 920–11, Japan e-mail: shuichi@kenroku.ipc.kanazawa-u.ac.jp
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Abstract

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We prove that certain square function operators in the Littlewood-Paley theory defined by the kernels without any regularity are bounded on , 1 < p < ∞, w ∈ Ap (the weights of Muckenhoupt). Then, we give some applications to the Carleson measures on the upper half space.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 2 , October 1998 , pp. 199 - 211
Copyright
Copyright © Australian Mathematical Society 1998

References

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