I think it would be your email. Not totally sure on that though. Only a business account will let you add a short text description. Otherwise it's either nothing, your email, or your personal name. Have a friend pay you $1 via CC, and see what the descriptor shows up as on his statement.
can anyone properly confirm what Paypal shows up for Premier account as name .Is there a way for it to show only email address??
It will show your full name and email address no matter what. Why does it matter? Unless your trying to scam someone, why does it matter if they know your name?
Your best bet if you want to control what's displayed is convert to a business account, and do business under your own name, or the name of your website. You will then be able to modify the text seen on a credit card statement.
It will show up on a statement as "Debit Card - PayPal *First Name Surname Initial", eg "Debit Card - Paypal *Peter A".