Hello! I moved to CA from NY but kept my job in NY and I work remotely (telecommute) from my home. It appears both CA and NY want to tax my wages, is that accurate?

I moved to CA from NY in 2016 and I kept my NY job.  They have no presence in CA, so I'm working remotely.  I went to file a NY part resident/non-resident based on the date of the move, but they want to tax me on all my income for the year because NY was a source.

For CA, they also want to tax all of my wages.

Is this correct, should I be paying full in both states or should there be a deduction or special form for a tax credit to one state?