It helps to think of it in two parts: real (real, just like in English) + izar (to make).    From Wordnik.com.  [Amor y romanticismo 6] Reference

She is neither tall nor short; but her hips are such that the izar is too narrow for them.    From Wordnik.com.  [Nights 738-756. The Story of Jullanar of the Sea.] Reference

So he wears a rida '(upper garment) and izar (lower garment) or whatever, and sandals or any footwear that does not cover the ankle-bone.    From Wordnik.com.  [Recently Uploaded Slideshows] Reference

Accordingly, on the fourth day, I procured what was requisite, as usual, and soon after sunset she came, accompanied by a female wrapped in an izar, and they entered, and seated themselves.    From Wordnik.com.  [Nights 24-32. The Story Told by the Jewish Physician.] Reference

She wore a headkerchief inclined on one side, and the odours of sweet perfumes were diffused from her, and she captivated my reason by her beauty and loveliness as she raised her izar and I beheld her black eyes.    From Wordnik.com.  [Nights 24-32. The Story Told by the Christian Broker.] Reference

She was wrapped in an izar of silk embroidered with gold, and the merchant uncovered her face, whereupon the place was illuminated by her beauty, and there hung down from her forehead seven locks of hair reaching to her anklets, like the tails of horses.    From Wordnik.com.  [Nights 738-756. The Story of Jullanar of the Sea.] Reference

Now on this day the sheykh Ibrahim went out to transact an affair of business, and found the two sleeping at the garden-gate, covered with a single izar; and he said, Do not these two persons know that the Khalifeh hath given me permission to kill every one whom I find here?.    From Wordnik.com.  [Nights 32-36. The Story of Nur-Ed-din and Enis-El-Jelis.] Reference

The misty izar from Mosul.    From Wordnik.com.  [The Atlantic Monthly, Volume 18, No. 106, August, 1866] Reference

The Story of the Porter and the Ladies of Baghdad, and of the Three Royal Mendicants, Etc. THERE was a man of the city of Baghdad, who was unmarried, and he was a porter; and one day, as he sat in the market, reclining against his crate, there accosted him a female wrapped in an izar of the manufacture of El-Mosil, 1 composed of gold-embroidered silk, with a border of gold lace at each end, who raised her face-veil, and displayed beneath it a pair of black eyes, with lids bordered by long lashes, exhibiting a tender expression, and features of perfect beauty; and she said, with a sweet voice, Bring thy crate, and follow me.    From Wordnik.com.  [Nights 9-18. The Story of the Porter and the Ladies of Baghdad, and of the Three Royal Mendicants, Etc.] Reference

She then uncovered her face, and took off her izar, and I found her to be so surprisingly beautiful that love for her took possession of my heart: so I went and brought a repast consisting of the most delicious viands and fruit and everything else that was requisite for her entertainment, and we ate and sported together; after which we drank till we were intoxicated, and fell asleep, and so we remained until the morning, when I handed her ten pieces of gold; but she swore that she would not accept them from me, and said, Expect me again, O my beloved, after three days: at the hour of sunset I will be with thee: and do thou prepare for us, with these pieces of gold, a repast similar to this which we have just enjoyed.    From Wordnik.com.  [Nights 24-32. The Story Told by the Jewish Physician.] Reference