A sharpened Riesz-Sobolev inequality
classification
🧮 math.CA
keywords
inequalityformriesz-sobolevboundburchardcasescharacterizesconvolution
read the original abstract
The Riesz-Sobolev inequality provides an upper bound, in integral form, for the convolution of indicator functions of subsets of Euclidean space. We formulate and prove a sharper form of the inequality. This can be equivalently phrased as a stability result, quantifying an inverse theorem of Burchard that characterizes cases of equality.
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
Long time confinement of multiple concentrated vortices
Multiple almost circular concentrated vortices in the 2D Euler equations remain concentrated over long time scales if they stay separated, supported by a new stability estimate for the logarithmic interaction energy.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.