Elementary proofs of one weight norm inequalities for fractional integral operators and commutators

2015/07/09 by David Cruz-Uribe, Cruz-Uribe, David
Mathematics · #42B25 #42B30 #42B35 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1507.02559

openalex publication_date 2015/07/09 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We give new and elementary proofs of one weight norm inequalities for fractional integral operators and commutators. Our proofs are based on the machinery of dyadic grids and sparse operators used in the proof of the A2 conjecture.

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