It appears as though PlayStation Home won’t be carrying over to PS4, as Sony are discontinuing the service in Asian territories including Japan, presumably before closing it worldwide.
There will be no new content for the service in Japan after September 2013, with other Asian territories following suit in March 2014.
We don’t know whether the servers will be shutting down, but you can expect them to eventually, and similar announcements could be made in the future about Western territories, despite the release reading “Sony Computer Entertainment America and Sony Computer Entertainment Europe will continue to fully support their vibrant PlayStation®Home communities”.
PlayStation home never really kicked off like Sony had expected it to; it never became the social hub for gaming that we thought it might evolve into at first. And with the PS4 just months away, it’s easy to see why they’re saying goodbye.
Did it ever come out of beta?
Source: Press Release