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What do you think? Is it better to remain as it is and to change links on other websites not to have www.? Or maybe I have other solution?
Do some digging through the back posts here and you'll see alot of dicussion about this.
There are both technical and nontechnical responses. You can address it by putting a hard redirect from the domain.com to www.domain.com in your htaccess file.
The link that points to domain.com would still be able to refer traffic but wouldn't contribute to your link popularity. Might as well get it changed to point to www.domain.com if you can.
The problem arises because technically the content on domain.com and www.domain.com could be different so Google does not assume they are the same. Sometimes when you have links to both versions the wrong one gets prominence.
See this thread, titled, Google search form on WW [webmasterworld.com], specifically, message #9.
Example searches:
redirect non-www to www [google.com]
google mediapartners [google.com]
Jim