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Imbedding C1 into H1

Published online by Cambridge University Press:  20 November 2018

Jingzhi Tie
Jingzhi Tie*
Affiliation:
Department of Mathematics University of Toronto Toronto, Ontario M5SIA1 e-mail: jingzhi@math.toronto.edu
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Abstract

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This article gives a direct proof of Theorem 7.58 of Greiner [4]. This result implies that the classical Mikhlin-Calderón-Zygmund calculus for the principal value convolution operators on ℂ is, in a natural way, the limit of the Laguerre calculus for principal value convolution operators on ℍ1 = ℂ x ℝ.

Keywords

43M80
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 6 , 01 December 1995 , pp. 1317 - 1328
Copyright
Copyright © Canadian Mathematical Society 1995

References

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