According to Google (which cites USDA) for "espresso caffeine" and "coffee caffeine", there is 64 mg of caffeine in 1 fl oz of espresso and 94 mg of caffeine in 8 fl oz of coffee.
So per unit volume, the espresso has several times the caffeine (and you would already expect a double espresso to have more total caffeine than a modest sized drip coffee).
That's 236ml of caffeine for 8oz of coffee and 232ml of caffeine for espresso. That's less caffeine in espresso than coffee by volume.