Geometric averaging operators and nonconcentration inequalities
Classical Analysis and ODEs
2022-03-23 v1 Metric Geometry
Abstract
This paper is devoted to a systematic study of certain geometric integral inequalities which arise in continuum combinatorial approaches to -improving inequalities for Radon-like transforms over polynomial submanifolds of intermediate dimension. The desired inequalities relate to and extend a number of important results in geometric measure theory.
Cite
@article{arxiv.1906.04599,
title = {Geometric averaging operators and nonconcentration inequalities},
author = {Philip T Gressman},
journal= {arXiv preprint arXiv:1906.04599},
year = {2022}
}
Comments
42 pages