Sharp A1 Weighted Estimates for Vector-Valued Operators

Sharp A1 Weighted Estimates for Vector-Valued Operators

Given 1 ≤ q < p < ∞ , quantitative weighted L p estimates, in terms of A q weights, for vector-valued maximal functions, Calderón–Zygmund operators, commutators, and maximal rough singular integrals are obtained. The results for singular operators will rely upon suitable convex body domination...

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Veröffentlicht in:The Journal of geometric analysis 2021, Vol.31 (3), p.3085-3116
Hauptverfasser: Isralowitz, Joshua, Pott, Sandra, Rivera-Ríos, Israel P.
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Commutators
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
Operators (mathematics)
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Zusammenfassung:Given 1 ≤ q < p < ∞ , quantitative weighted L p estimates, in terms of A q weights, for vector-valued maximal functions, Calderón–Zygmund operators, commutators, and maximal rough singular integrals are obtained. The results for singular operators will rely upon suitable convex body domination results, which in the case of commutators will be provided in this work, obtaining as a byproduct a new proof for the scalar case as well.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-020-00385-3