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The Riesz Transform of Codimension Smaller Than One and the Wolff Energy

By: Benjamin Jaye (Author) , Fedor Nazarov (Author) , Maria Carmen Reguera (Author)

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Ksh 20,250.00

Format: Paperback or Softback

ISBN-13: 9781470442132

Publisher: American Mathematical Society

Publication Date: Oct 30th, 2020

Weight: 210 grams

Dimension: 17.70 x 25.30 x 0.90 cms

Category: Differential calculus & equations

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The authors characterize the non-negative locally finite non-atomic Borel measures $\mu $ in $\mathbb R^d$ for which the associated $s$-Riesz transform is bounded in $L^2(\mu )$ in terms of the Wolff energy. This extends the range of $s$ in which the Mateu-Prat-Verdera characterization of measures with bounded $s$-Riesz transform is known.

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