How do I hide Global search in VF page. I already have 
<apex:page sidebar="false" showHeader="false"    Is this config?

It has been restricted in vf page, but I am still seeing search and and recent iteam in vf page. I was able to restrict Recent item thorugh configuration. How do I hide search nw


 

I have a Custom object where we have Visual force page button,
The requirement is:
The Object Tab is enabled for Portal Users, If  object record created/Owned by Portal user then only they should be able to access this Visual force page button. If the record is created/Owned by any other users this button should throw error or should be disabled for these portal users. 

Portal User have view all access to this object. Poratl user can only edit that they own/create. The visual force page button does not have any security. I want to create a rule or button in this object to restrict access to portal users if the record is created by someone else beside them. 

How can I achieve this requirement and what will be the syntax.

How do I hide Global search in VF page. I already have 
<apex:page sidebar="false" showHeader="false"    Is this config?