It takes the average reader 1 hour and 39 minutes to read The Riesz Transform of Codimension Smaller Than One and the Wolff Energy by Benjamin Jaye
Assuming a reading speed of 250 words per minute. Learn more
Fix $dgeq 2$, and $sin (d-1,d)$. 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. As an application, the authors give a metric characterization of the removable sets for locally Lipschitz continuous solutions of the fractional Laplacian operator $(-Delta )^alpha /2$, $alpha in (1,2)$, in terms of a well-known capacity from non-linear potential theory. This result contrasts sharply with removability results for Lipschitz harmonic functions.
The Riesz Transform of Codimension Smaller Than One and the Wolff Energy by Benjamin Jaye is 97 pages long, and a total of 24,929 words.
This makes it 33% the length of the average book. It also has 30% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 16 minutes to read The Riesz Transform of Codimension Smaller Than One and the Wolff Energy aloud.
The Riesz Transform of Codimension Smaller Than One and the Wolff Energy is suitable for students ages 10 and up.
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