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A Necessary Condition for Multipliers of Weak Type (1, 1)

Published online by Cambridge University Press:  20 November 2018

Michał Wojciechowski*
Affiliation:
Institute of Mathematics Polish Academy of Sciences Sniadeckich 8, I p. 00-950 Warszawa Poland, email: miwoj@impan.gov.pl
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Abstract

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Simple necessary conditions for weak type (1, 1) of invariant operators on $L\left( {{\mathbb{R}}^{d}} \right)$ and their applications to rational Fourier multiplier are given.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2001

References

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[3] Wózniakowski, K., A new proof of the restriction theorem for weak type (1, 1) multipliers on Rn . Illinois J. Math. 40 (1996), 479483.Google Scholar