iOS has 60% of the US market[1], and Android 40%. The App Store has 100% more revenue than the Play Store[2], and the two are responsible for over 99% of all app sales. In the US, Apple has the majority of market share in the mobile operating systems market and the mobile app distribution market.
Both Apple and Google have a duopoly in mobile operating systems, and they leverage that duopoly to maintain their duopoly in the mobile app distribution market. To continue the chain, they then leverage that duopoly to dominate the mobile app payment market, as well.
Further, the colloquial definition of monopoly doesn't with regard to antitrust laws:
> Courts do not require a literal monopoly before applying rules for single firm conduct; that term is used as shorthand for a firm with significant and durable market power — that is, the long term ability to raise price or exclude competitors. That is how that term is used here: a "monopolist" is a firm with significant and durable market power.
[1] https://www.pcmag.com/news/ios-more-popular-in-japan-and-us-...
[2] https://www.businessofapps.com/data/app-revenues/
[3] https://www.ftc.gov/tips-advice/competition-guidance/guide-a...