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Abstract In this paper, we extend the mixed weak-type inequalities of Sawyer type for Calderon-Zygmund operators to the variation operators of θ-type Calderon-Zygmund operators. Moreover, the corresponding quantitative weighted bounds… Click to show full abstract
Abstract In this paper, we extend the mixed weak-type inequalities of Sawyer type for Calderon-Zygmund operators to the variation operators of θ-type Calderon-Zygmund operators. Moreover, the corresponding quantitative weighted bounds as well as the weighted estimates in the extreme case p = ∞ are also obtained. Meanwhile, we also present the quantitative Bloom type estimate and C p estimates for variation operators of commutators.
Keywords:
variation;
inequalities singular;
singular integrals;
integrals commutators;
variation inequalities;
weighted variation
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
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recommendations!