Bootstrap methods in bounding discrete Radon operators

Abstract

The aim of this paper is to develop bootstrap arguments to establish maximal, oscillation, variational and jump inequalities for the discrete averaging Radon operators on ${\ell }^p({\mathbb{Z}}^d)$.

References in corpus (6)

• Variation estimates for averages along primes and polynomials
• A bootstrapping approach to jump inequalities and their applications
• Jump inequalities for translation-invariant operators of Radon type on ${\mathbb{Z}}^d$
• Jump inequalities via real interpolation
• Square function estimates for discrete Radon transforms
• Oscillation estimates for truncated singular Radon operators