No water, no snow. The most prominent example of this is Antartica, the south pole. The precipitation at the south pole is minimum, to the extent that it is categorized as a desert. The precipitation that falls does not melt readily. The temperature of the air affects the amount of water vapor it can hold.
Colder air holds less water.
To have a significant snow, you need significant water vapor in the air. At temperatures well below freezing there is not enough water in the air to get much snow. The exception to this is in places on the lee side of a large body of water. Here the air need not hold much water, but only keep blowing. Argonne National Laboratory, Division of Educational Programs, Harold Myron, Ph.D., Division Director.