Sharp weighted bounds for one-sided and multiple integral operators

2014/03/03 by Vakhtang Kokilashvili, Kokilashvili, Vakhtang, Alexander Meskhi +3
Mathematics · #42B20 #42B25 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1403.0372

openalex publication_date 2014/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we establish sharp weighted bounds (Buckley type theorems) for onesided maximal and fractional integral operators in terms of onesided A_p characteristics. Appropriate sharp bounds for strong maximal functions, multiple potentials and singular integrals are derived.

Citations

• Weighted norm inequalities for the conjugate function and Hilbert transform
• Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular

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