As long as it is showing as accepted and processing in the links provided above, that's good news. State agencies and the IRS sometimes have different processing times, so if you have already received your federal but not your state refund, it's not a cause for alarm.
If it has been 4 weeks or more, you may be able to call your state agency directly and ask if they could access your account and provide you with any updates, but if they need something from you to continue processing your return, they should send you a letter requesting it via postal mail.
