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arXiv · 1911.09954

On good-$\lambda$ inequalities for couples of measurable functions

Grigori A. Karagulyan
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Abstract

We give a domination condition implying good-$\lambda$ and exponential inequalities for couples of measurable functions. Those inequalities recover several classical and new estimations involving some operators in Harminic Analysis. Among other corollaries we prove a new exponential estimate for Carleson operators. The main results of the paper are considered in a general setting, namely, on abstract measure spaces equipped with a ball-basis.

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BibTeXRIS

Grigori A. Karagulyan. 2019-11-22. On good-$\lambda$ inequalities for couples of measurable functions. https://doi.org/10.1512/iumj.2021.70.8722

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