This means that you are trying to run 1.5 homebrew on a 5xx kernel PSP. You will need a kernel add-on to run the homebre you are trying to run on a Phat PSP, and it won't work at all on slim PSPs. Installing the kernel addon is more trouble than it is worth in my opinion, I wouldn't worry about it.
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error 80551001 in PlayStation Store
80020148 is the firmware error code. Try running the latest update, as some games won't let you play them unless you are running the most recent update.
Bring your PSP to a game store (like Gamestop) and ask them to fix it.
DNS error 80410413 means the web address was typed in wrong eg: i tryed every thing when this mesg came up, then when i nearly gave up i typed www.facebook.co.uk and it changes the address to http://en-gb.facebook.com/ the psp cant do this so it just gives an error mesg i then typed in the address on my psp the exact address; http://en-gb.facebook.com/ AND IT WORKS :) WOWO :)
delete the data and puted in your psp