There are a number of issues with the new OS X Mavericks and the Gadget Lab at Wired.com has published a helpful article on how to fix a few of them. Some problems, as stated in the article, must be fixed by Apple, but you can remedy a few issues yourself.
In "6 Known Issues with OS X Mavericks and How to Fix Them," Wired's Roberto Baldwin tells us:
1. How to jump start a stalled Mavericks download.
2. How to make your Gmail IMAP settings work with the changes in Apple Mail. This tip is only for people who have changed their Gmail settings previously. TUAW's Megan Lavey-Heaton has also noted some problems with Mail and Gmail, which you might find helpful in her