If you run a business out of your home, you may be able to take the home office deduction. This allows you to deduct a portion of your rent or mortgage costs, as well as some related costs -- such as utilities, insurance, and remodeling. However, there are strict requirements you must meet. For instance, you will not qualify if you use your office partly for work and partly for personal reasons, or if you don't use the space regularly for business.
For more information, see Nolo's article The Home Office Tax Deduction or check with a tax professional.