Adding additional db's in OpenLDAP

I would like to add addtional db's to my LDAP
server but am having permission problems.

My slapd.conf file has the following:
----------------------------------------------------
database        bdb
suffix          "dc=domainA,dc=com"
directory       "/var/lib/ldap"
index           objectClass eq
lastmod         on
access to attribute=userPassword
      by dn="cn=admin,dc=domainA,dc=com" write
      by anonymous auth
      by self write
      by * none
access to *
      by dn="cn=admin,dc=domainA,dc=com" write
      by * read

                        

database        bdb
suffix          "dc=domainB,dc=com"
directory       "/var/lib/ldap"
index           objectClass eq
lastmod         on
access to attribute=userPassword
      by dn="cn=admin,dc=domainA,dc=com" write
      by anonymous auth
      by self write
      by * none
access to *
      by dn="cn=admin,dc=domainA,dc=com" write
      by * read
-----------------------------------------------------
When I try to add the following with the command 
'ldapadd -x -D "cn=admin,dc=domainA,dc=com" -W -f domainB.ldif'

dn: dc=domainB,dc=com
objectClass: top
objectClass: dcObject
objectClass: organization
o: domainB.com
dc: domainB

dn: ou=Addressbook,dc=domainB,dc=com
ou: Addressbook
objectClass: organizationalUnit

dn: cn=user1 last,ou=Addressbook,dc=domainB,dc=com
objectclass: inetOrgPerson
cn: user1 last
sn: last
telephoneNumber: 123.4567
mail: them@theiraddress
ou: Their LLC
mobile: xxx-xxxx
-----------------------------------------
I get the following error:
Enter LDAP Password:
adding new entry "dc=domainB,dc=com"
ldapadd: update failed: dc=domainB,dc=com
ldap_add: Insufficient access (50)

The password works for domainA (I just updated all 2,000 entries).
Anyone want to help me out here? I never really have understood the permissions
set up in my slapd.conf file.

Do I nee a seperate admin dn for each domain? If so, how do I initially
add it?

v/r
-mike