Because your low-profile tires are so much skinnier than standard car tires, it will take a considerably lower volume of air to fill them to the recommended pressure. Be careful when inflating your tires to not overfill them. Since low-profile tires take such a small amount of air, it is easy to overdo it very quickly. This could damage your tires.
Like all tires, low-profile tires have a suggested optimal pressure set by the manufacturer. You can find this number on the tire's sidewall. The tire manufacturer creates these figures, measured in pounds-per-square-inch (PSI), to be an average pressure suitable for most driving situations. In very hot weather, you may want to inflate your tires slightly less. When air gets hot and expands, a blowout could occur if you inflate the tires too much.
You should not deviate from the suggested tire pressure by more than a couple PSI. Slightly under-inflating your tires will lead to poorer fuel economy but a more compliant ride. Over-inflating your tires a bit will lead to a sportier ride, but poorer mileage and tread life. Check your vehicle's manual to make sure, as some cars suggest different pressures for front and rear tires.