Sales in the Hamptons, Aspen and Los Angeles fell by double-digit percentages in the fourth quarter, as the supply of unsold homes grew and prices came under pressure, according to market reports Douglas Elliman and Miller Samuel Real Estate Appraisers & Consultants.

Separate research from Redfin found that luxury properties nationwide under-performed the broader housing market for the eighth consecutive quarter. The supply of homes priced at $1 million or more rose 1 percent in the fourth quarter, while the number of $5 million-plus homes was up 15 percent.

"The Trump rally in the stock market did little to move prices in luxury real estate," Redfin's chief economist Nela Richardson said. "Cities with booming luxury markets attracted traditional high-income buyers seeking a place to live, work and grow their families. Prices in cities with more transient luxury buyers, looking for investments or a place to park their wealth, had more tepid growth to close out 2016."