We have an Asian pear tree in our Sunnyvale garden. Because we are growing it in a large pot, we selected a tree grafted onto ultra-dwarf stock . Ultra-dwarf has a smaller set of roots, both in depth and drip-line diameter. This makes it ideal for large containers. I planted it in winter 2012 and have been pruning it to increase its scaffolding. It is currently about 5 feet tall from the soil in the pot.
Unlike european pears, asian pears do not ripen any further after harvest. The challenge is that you have to harvest asian pears when they are ripe on the tree but before the squirrels discover them. They should be ripe in September.