Best constants in some estimates for the harmonic maximal operator on the real line
Volume 164 / 2021
Colloquium Mathematicum 164 (2021), 133-148
MSC: Primary 42B25.
DOI: 10.4064/cm8213-4-2020
Published online: 4 September 2020
Abstract
The paper contains the proofs of strong-type, weak-type, Lorentz-norm and stability estimates for the harmonic maximal operator on the real line, associated with an arbitrary Borel measure. The constants obtained are optimal in the special case of the Lebesgue measure.
