Paraproducts and the exponential-square class

  • Wilson J
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Abstract

We prove that if a locally integrable f has a pointwise bounded dyadic square function, where the square function is defined with respect to a so-called "accretive" weight b, then f is locally exponentially square integrable. We generalize the result to d dimensions by means of "canonical" Haar functions for L2(Rd). © 2002 Elsevier Science (USA). All rights reserved.

Author-supplied keywords

  • Littlewood-Paley functions
  • Paraproducts

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Authors

  • J. Michael Wilson

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