Answer: Pigmy date palms can take the desert sunshine and they require lots of water. Since your palm is a relatively new acquistion, I wonder if it had been growing under a shade cloth or perhaps was growing beneath taller trees and was protected from direct sunshine while it was at the nursery. If so, that would explain why the sun is affecting the foliage. If you have not planted it in the yard, you can simply move the plant into a protected spot until it becomes accustomed to the sunshine. Morning sun and afternoon shade would be ideal. Then, in the fall, you can plant your palm in a site that will receive full sunshine in the summer months. By this time next year it will have healthy new fronds and you can cut away the burned fronds. If you've already planted it in a sunny spot, perhaps you can construct a temporary frame and place sun shade fabric to protect it from afternoon sunshine. As the new fronds grow they will be more able to take the sun's rays and should not burn. Be sure to give your pygmy palm lots of water.
Best wishes with your palm!
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