On the Coifman type inequality for the oscillation of one-sided averages

DOI10.1016/j.jmaa.2007.03.005zbMath1133.42036OpenAlexW2053529320MaRDI QIDQ2644035

María Lorente, María Silvina Riveros, Alberto De La Torre

Publication date: 27 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.03.005

zbMATH Keywords

one-sided weightsCoifman-Fefferman inequalityone-sided discrete square function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Spaces of measures (46E27)

Related Items

H\"ormander's conditions for vector-valued kernels of singular integrals and its commutators, One-sided estimates via function, A counting problem in ergodic theory and extrapolation for one-sided weights

Cites Work

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• On the maximal ergodic theorem for certain subsets of the integers
• Factorization theorems for Hardy spaces in several variables
• Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function
• Oscillation and variation for the Hilbert transform
• Dimension free estimates for the oscillation of Riesz transforms
• Endpoint estimates for commutators of singular integral operators
• Generalized Hörmander's conditions, commutators and weights
• Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals
• Weighted estimates for singular integral operators satisfying Hörmander's conditions of Young type
• Weighted Inequalities for One-Sided Maximal Functions
• A Commutator Theorem and Weighted BMO
• Weighted Inequalities for the One-Sided Hardy-Littlewood Maximal Functions
• Higher Order Commutators for Vector-Valued Calderon-Zygmund Operators
• Weighted norm inequalities for maximal functions and singular integrals
• Oscillation in ergodic theory
• A⁺_∞ Condition
• One-Sided BMO Spaces
• One-sided discrete square function
• New Proofs of Weighted Inequalities for the One-Sided Hardy-Littlewood Maximal Functions
• Fractional Integration in Orlicz Spaces. I
• Two weight norm inequalities for communtators of one-sided singular integrals and the one-sided discrete square function
• Weights for commutators of the one-sided discrete square function, the Weyl fractional integral and other one-sided operators
• Sufficient conditions for one-sided operators