Abstract
We derive sharp weighted norm estimates for positive kernel operators on spaces of homogeneous type. Similar problems are studied for one-sided fractional integrals. Bounds of weighted norms are of mixed type. The problems are studied using the two-weight theory of positive kernel operators. As special cases, we derive sharp weighted estimates in terms of Muckenhoupt characteristics.
Citation
Vakhtang Kokilashvili. Alexander Meskhi. Muhammad Asad Zaighum. "Sharp weighted bounds for fractional integrals via the two-weight theory." Banach J. Math. Anal. 12 (3) 673 - 692, July 2018. https://doi.org/10.1215/17358787-2017-0063
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