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A centred norm inequality for singular integral operators

Published online by Cambridge University Press:  24 October 2008

Richard F. Bass
Richard F. Bass
Affiliation:
Department of Mathematics, University of Washington, Seattle, Washington 98195, U.S.A.
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Abstract

Let K be a standard singular integral kernel on ℝ satisfying the usual Hölder continuity condition of order δ, and define (where c is chosen so that the integral of w is 1), the mean of g with respect to the measure w(x) dx, and ‖·‖p the Lp norm with respect to w(x) dx. Although the inequality is not true in general, the centred norm inequality does hold for 1 < p < ∞ if α < δ.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 2 , September 1992 , pp. 369 - 383
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

REFERENCES

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