All UH Email Accounts have an initial email quota of 500 MB for faculty/staff and 250 MB for students. It is necessary to have email quotas because everyone that has a UH Email Account must share the resources on the email server.
When the email quota reaches close to full utilization, a warning email message is automatically sent to you. When the email quota reaches 100% utilization, you will not be able to receive email messages. You might be able to still send email messages if you do not save a copy of the outgoing email messages.
ITS encourages you to keep your email mailboxes clean by periodically deleting old email and unnecessary email messages. There will be times when cleaning up is not enough. In this case, you may request that your email quota be increased; however, there are restrictions to requesting an increase in your email quota. Increases to your email quota will be granted only if it is required for your academic studies, UH work, or teaching-related requirements. Additional disk quota may be requested via the UH Account Management page. Click on the "Check Quota/Request More Space" link to find how much email or disk space you are using and to request more space. Students need a faculty or staff sponsor to request additional disk space. Please note that email quota is different from disk quota for for files on uhunix accounts. For more information on increasing file quota, please read "How do I get an increase in my email or disk quota?"
ref: http://www.hawaii.edu/its/email/emailpractices.html#emailquota