NDLI: Results on Weighted Norm Inequalities for Multipliers

Content Provider	Scilit
Author	Kurtz, Douglas S. Wheeden, Richard L.
Copyright Year	1979
Description	Weighted -norm inequalities are derived for multiplier operators on Euclidean space. The multipliers are assumed to satisfy conditions of the Hörmander-Mikhlin type, and the weight functions are generally required to satisfy conditions more restrictive than which depend on the degree of differentiability of the multiplier. For weights which are powers of , sharp results are obtained which indicate such restrictions are necessary. The method of proof is based on the function of C. Fefferman and E. Stein rather than on Littlewood-Paley theory. The method also yields results for singular integral operators.
Related Links	http://www.ams.org/tran/1979-255-00/S0002-9947-1979-0542885-8/S0002-9947-1979-0542885-8.pdf
Ending Page	362
Page Count	20
Starting Page	343
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/1998180
Journal	Transactions of the American Mathematical Society
Volume Number	255
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Mathematical Physics Results On Weighted Inequalities for Multipliers Weighted Norm Inequalities
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Results on Weighted Norm Inequalities for Multipliers