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INTERPLAY BETWEEN DISTRIBUTIONAL ESTIMATES AND BOUNDEDNESS IN HARMONIC ANALYSIS

Published online by Cambridge University Press:  01 June 2005

DMITRIY BILYK  and
LOUKAS GRAFAKOS
DMITRIY BILYK
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211, USAbilykd@math.missouri.edu, loukas@math.missouri.edu
LOUKAS GRAFAKOS
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211, USAbilykd@math.missouri.edu, loukas@math.missouri.edu
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Abstract

In this paper, a proof is given that certain boundedness properties of operators yield distributional estimates that have exponential decay at infinity. Such distributional estimates imply local exponential integrability, and apply to many operators such as $m$-linear Calderón–Zygmund operators and their maximal counterparts.

Keywords

46B7042B99
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 3 , June 2005 , pp. 427 - 434
Copyright
© The London Mathematical Society 2005

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