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This article is available for purchase or by subscription. See below.
Abstract
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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.
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Keywords
geometric measure theory, geometric invariant theory,
Radon-like transforms
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Mathematical Subject Classification 2010
Primary: 28A75, 44A12
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Milestones
Received: 18 June 2019
Revised: 2 June 2020
Accepted: 15 September 2020
Published: 16 March 2022
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