Prerequisites
You are on the initial screen of the Business Object Builder. You have created a
subtype for the object type for which you want to carry out delegation.Procedure
You can define the delegation on a frontend-specific basis.

The settings you make for the person responsible and delegation are displayed in the basic data of the object type.
Defining a customer-specific delegation type across the system
You are on the screen Display View "Customizing Object Types": Details.
.The screen New Entries: Details of Added Entries is displayed.

This entry now applies system-wide and is cross-client.
If the delegation is only to apply to a particular frontend, or a system-wide delegation is to be overridden with another delegation for a particular frontend, set the indicator GUI-specific.
Defining a customer-specific delegation type for a specific frontend

You can only specify a frontend-specific delegation for an object type if you checked "GUI-specific" beforehand for this object type when maintaining system-wide delegation.